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Chapter 4: Q.129 (page 299)

Find the probability that her cats will wake her up no more than five times next week.

a.0.5000b.0.9329c.0.0378d.0.0671

Short Answer

Expert verified

The answer is Option (d) is the correct answerP(X鈮�5)=0.0571.

Step by step solution

01

Introduction 

Probability is a discipline of mathematics concerned with numerical explanations of the likelihood of an event occurring or the truth of a claim. The probability of an event is a number between 0 and 1, with 0 indicating impossibility and 1 indicating certainty, broadly speaking.

02

Given

Mrs. Plum's cats wake her up on average 10 times every week.

03

Formula used 

This is the formula we used P(X=x)=e-位脳位xx!.

04

Explanation 

P(X鈮�5)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)

+P(X=5)

P(X鈮�5)=e-10脳1000!+e-10脳1011!+e-10脳1022!+e-10脳1033!+e-10脳1044!+e-10脳1055!

it is near about given P(X鈮�5)=0.057085鈮�0.0571

so, the final answer we have ,

We can easily see that Option D is right based on the calculations above.

P(X鈮�5)=0.0571.

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Most popular questions from this chapter

In words, the random variableX=_________________

a. the number of times Mrs. Plum鈥檚 cats wake her up each week.

b. the number of times Mrs. Plum鈥檚 cats wake her up each hour.

c. the number of times Mrs. Plum鈥檚 cats wake her up each night.

d. the number of times Mrs. Plum鈥檚 cats wake her up.

Define the random variableX .

For the given values of the random variable X, fill in the corresponding probabilities

Ellen has music practice three days a week. She practices for all of the three days 85% of the time, two days 8% of the time, one day 4% of the time, and no days 3% of the time. One week is selected at random. What values does X take on?

A consumer looking to buy a used red Miata car will call dealerships until she finds a dealership that carries the car. She estimates the probability that any independent dealership will have the car will be 28%. We are interested in the number of dealerships she must call.

a. In words, define the random variable X.

b. List the values that X may take on.

c. Give the distribution of X. X~ _____(_____,_____)

d. On average, how many dealerships would we expect her to have to call until she finds one that has the car?

e. Find the probability that she must call at most four dealerships.

f. Find the probability that she must call three or four dealerships
See all solutions

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