Before each class, I either drink a cup of coffee, a cup of tea, or a cup of water. The probability of coffee is 0.7, the probability of tea is 0.2, and the probability of water is 0.1. If I drink coffee, the probability that the lecture ends early is 0.3. If I drink tea, the probability that the lecture ends early is 0.2. If I drink water, the lecture never ends early. 1) What’s the probability that I drink tea and finish the lecture early? 2) What’s the probability that I finish the lecture early? 3) Given the lecture finishes early, what’s the probability I drank coffee?

Answers

Answer 1

Answer:

1. Probability of drinking tea and finishing the lecture early = 0.2 * 0.2 = 0.04 or 4%

2. Probability of finishing the lecture early = 50% (0.3 + 0.2).

3. Probability of drinking coffee = 0.21 or 21% (0.7 * 0.3)

Step-by-step explanation:

a) Data and Calculations:

            Probability   Early Ending    Expected Probability

Coffee     0.7               0.3                     0.21

Tea          0.2               0.2                    0.04

Water      0.1                

b) The probability of drinking coffee, tea, or water is the chance that the lecturer drinks either coffee or tea or water.  The combined probability of the three actions is always 1.  The expected probability is the weighing of the probabilities with another event, ending the lecture early.  This is obtained by multiplying their respective probabilities.


Related Questions

Pablo's retirement party will cost $8 if he invites 4 guests. If there are 6 guests, how
will Pablo's retirement party cost? Solve using unit rates.

Answers

Answer:

$12

Step-by-step explanation:

Step 1:

$8 : 4 = x : 6

Step 2:

4x = 48

Answer:

x = 12

Hope This Helps :)

If $8500 is invested at 3.4% interest, compounded monthly, how much will the
investment be worth in 23 years?
O A. $18,339.66
O B. $9,071.53
O C. $19,142.10
O D. $18,559.10

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Answer:

In 23 years, you will have $18,559.10

Step-by-step explanation:

Elena draws a scale drawing for a garden in her backyard. The scale drawing is 3 inches by 6 inches. The garden will be 12 feet by 24 feet. What is the scale of the drawing in inches to feet? IF YOU ANSWER THIS QUESTION RIGHT I WILL MARK YOU BRAINLIEST 50 POINT QUESTION

Answers

plzzz give brainliest i really need it for my next rank

Answer:

1 inch= 4 feet for both

Step-by-step explanation:

This also means that the scale converts to 1/4 in. = 12 in.

stay safe

Using proportions, it is found that the scale is of 0.25 inches per feet.

This question is solved by proportions, using a rule of three.3 inches represents 12 feet, while 6 inches represents 24 feet. Since they are multiples, we take one of them, and find how many inches are represented by 1 feet.

The rule of three is:

3 inches - 12 feet

x inches - 1 feet

Applying cross multiplication:

[tex]12x = 3[/tex]

[tex]x = \frac{3}{12}[/tex]

[tex]x = \frac{1}{4}[/tex]

[tex]x = 0.25[/tex]

The scale is of 0.25 inches per feet.

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Place the numbers in order from least to greatest.
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Answers

Answer:

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Step-by-step explanation:

i did the paper

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Answers

Answer:

3 1/4

Step-by-step explanation:

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Find the slope of the line passing through the points (8, 3) and (9, 7)

Answers

Answer:

4

Step-by-step explanation:

Since we have 2 points, we can find the slope using

m = ( y2-y1)/(x2-x1)

    = ( 7-3)/(9-8)

    = 4/1

   = 4

Given Points:

(8, 3) and (9, 7)

To Find:

The slope of the line passing through the points (8, 3) and (9, 7).

Slope Formula:

y2 - y1 / x2 - x1

Solution:

7 - 3 / 9 - 8

= 4 / 1

= 4

Answer:

4

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Answers

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There are 4 consecutive integers that have a sum of 34. What are the integers

Answers

Answer:

consider integer are x, x+1, x+2, x+3

now x+(x+1) + (x+2) + (x+3) = 34

or, 4x + 6 = 34

or, 4x =28

x= 7

x =7

x+1 = 7+1 =8

x+2= 7+2=9

x+3= 7+3 =10

Answer:

Step-by-step explanation: 7,8,9,10

Joyce saved $130 on an item that was 35 % off. What was the original price?

Answers

Answer:

x=$200

Step-by-step explanation:

cross-multiply

130=0.65x

the original price would’ve been $200

adfh9qgfW9PGFgfogfwgr0fgwpORGFOAWGRO7GTFWARF

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Answer:

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Step-by-step explanation:

A coin was tossed 60 times and the coin landed on Heads 35 times. What proportion of the time did the coin land on Heads?
Type your numeric answer and submit

Answers

Answer:

35:60 times

Step-by-step explanation:

The proportion of time in which the coin land on Heads is 0.58

What is proportion?

A proportion is an equation in which two ratios are set equal to each other.

Now it is given that,

Number of times coins tossed = 60

Number of times coin landed on Heads = 35

Therefore, the proportion of time in which the coin land on Heads is given as,

Proportion of time the coin land on Heads = Number of times coin landed on Heads/Number of times coins tossed

Proportion of time the coin land on Heads = 35/60

Proportion of time the coin land on Heads = 7/12 = 0.58

Thus, the proportion of time in which the coin land on Heads is 0.58

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What standard measurement would be best used to determine how much milk is in a milk carton for lunch?

Answers

liters


hope this helps

Solve the following inequality 90 > 10x + 80

Answers

Answer:

x<1

Step-by-step explanation:

10x + 80 < 90

10x < 90 - 80

10x < 10

x < 1

Which table of ordered pairs represents a proportional relationship? ​

Answers

Answer:

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For example 5 squared is 25, 7 Squared is 49, and 9 Squared is 81

Solve for g.
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Answers

Answer:

[tex]g=20[/tex]

Step-by-step explanation:

[tex]4\left(g-17\right)=12[/tex]

Divide both sides by 4:

[tex]\frac{4\left(g-17\right)}{4}=\frac{12}{4}[/tex]

[tex]g-17=3[/tex]

Add 17 to both sides:

[tex]g-17+17=3+17[/tex]

[tex]g=20[/tex]

Answer: g=0 or g=20 i hope this helped

A speedboat moves at a rate of 25 km/hr in still water. How long will it take
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Answers

3 hours

I hope this helps you

1. Round off each of the following to the nearest whole number.
(a) 8.71
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(c) 69.48
(d) 103.72
(e) 49.84
(f) 101.35
(g) 39.814
(h) 1.23

Answers

☽------------❀-------------☾

Hi there!

~

[tex]8.71 = 9[/tex]

[tex]26.01 = 26[/tex]

[tex]69.48 = 69[/tex]

[tex]103.72 = 104\\49.84 = 50\\101.35 = 101\\39.814 = 40\\1.23 = 1[/tex]

❀Hope this helped you!❀

☽------------❀-------------☾

Answer:

Step-by-step explanation:

Look at tenth place. If it is 5 , 6 ,7 , 8, 9 ( 5 or more than 5)then add 1 to the whole part and that is your answer

If it is 0,1,2,3,4, then write the whole number as it it.

a) 8.71

tenth place is 7 and it is more than 5. so, add 1 to the whole part. 8+1 = 9

8.71 = 9

b) 26.01

Tenth place is 0 and it is less than 5.So, write the whole number as it is.

26.01 = 26

c) 69.48 = 69      { 4 is less than 5}

d) 103.72 = 104   { 7 >= 5}

e) 49.84 = 50  { 8 >= 5}

f)101.35 = 101  

g) 39.814 = 40

h)1.23 = 1

Marissa drives from her house to work at an avg speed of 40mph. She drives home sameroute at 60mph. Entire round trip is 45 minutes, what is her avgspeed in mph?

Answers

Answer:

50mph

Step-by-step explanation:

to to find the mean you add 40 + 60. which equals 100 then divide by the amount a variables which is two.

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Answers

Answer:

5 degrees every hour.

Step-by-step explanation:

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Answer: 5

Step-by-step explanation:

35 degrees / 7 hours = 5 degrees per hour

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

x is the larger. The smaller is 4 less than the larger

x - 4 would be the smaller.

Answer:

x-4 is the smaller

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Answers

Answer:

1 in standard form, 1 in expanded form, and one in word form.

Step-by-step explanation:

Hope this helps! If it does, please mark me brainliest! Thank you! ;)

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Answers

Step-by-step explanation:

t = 9x, and dx = 1/9 dt.

∫ sin(9x) dx

= ∫ sin(t) (1/9 dt)

= 1/9 ∫ sin(t) dt

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Answers

Answer:

Combined age = 5x+4 years

Step-by-step explanation:

let Eliza's age be x

given that Andrea is three times older than Eliza, hence Andrea's age is

= 3x years

it is also given that Suzie is 4 years older than eliza, hence Suzie's age is

= (x + 4) years

Therefore the combined age

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= x + 3x + x + 4

= 5x + 4

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Answers

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Answers

Answer:

x = - 1  

option I

Step-by-step explanation:

Equation is: 5x + 6 = 1

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5x + 6 - 6 = 1 -6

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Divide both sides by 5

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What are two different methods you can use to withdraw money from your checking account?​

Answers

Answer:

You can withdraw by automatic electronic transfer, check, ATM card or debit card. There are many ways these days to withdraw money from your accounts.

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Find the probability that the event will not happen.

Answers

Answer:

7/41

Step-by-step explanation:

There is a 34/41 probability that this event will happen so to find the probability of which the event will not happen, the subtract 34 from 41 to get your answer.

41-34=7

Therefore, 7/41 is the answer.

Ps. is the P(E) included in the main question? if it is, the the answer might differ from the one I am giving you.

Tula can paint 2/3 of a room in 3/4 hours. How many rooms can she paint in one hour?

Answers

Answer:

She can paint 1 1/2 of a room

Step-by-step explanation:

I believe...

Answer:

8/9

its just simple equations

you do 2/3 divided by 3/4 for the unit rate.

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