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What is the probability the baker will sell more than one batch? P(x>1)=_______

Short Answer

Expert verified

The probability the baker will sell more than one batch of cookies is:

P(x>1)=0.85.

Step by step solution

01

Given Information

When a baker is deciding how many batches of muffins to create to sell in his bakery, the probability that the baker P(x>1)will sell more than one batch is calculated using the probability distribution below.

02

Concept Used

According to discrete distribution propertiesP(X), is defined as the probability mass function of a discrete variable X

i.
P(X)≥0 for all X

ii. ∑P(X)=1

As a result, the probability that the baker will sell more than one batch P(x>1)is calculated as :

P(x>1)=P(x=2)+P(x=3)+P(x=4)

03

Calculation

The probability that the baker will sell more than one batch P(x>1) is calculated using the probability distribution probability:

P(x>1)=P(x=2)+P(x=3)+P(x=4)=0.35+0.40+0.10=0.85

04

Conclusion:

As a result, the probability of good chance the baker will sell more than one batch is P(x>1)=0.85.

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Most popular questions from this chapter

Suppose that the probability that an adult in America will watch the Super Bowl is 40%. Each person is considered independent. We are interested in the number of adults in America we must survey until we find one who will watch the Super Bowl.

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. How many adults in America do you expect to survey until you find one who will watch the Super Bowl?

e. Find the probability that you must ask seven people.

f. Find the probability that you must ask three or four people

In one of its Spring catalogs, L.L. Bean® advertised footwear on 29 of its 192 catalog pages. Suppose we randomly survey 20 pages. We are interested in the number of pages that advertise footwear. Each page may be picked more than once.

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. How many pages do you expect to advertise footwear on them?

e. Is it probable that all twenty will advertise footwear on them? Why or why not?

f. What is the probability that fewer than ten will advertise footwear on them?

g. Reminder: A page may be picked more than once. We are interested in the number of pages that we must randomly survey until we find one that has footwear advertised on it. Define the random variable X and give its distribution.

h. What is the probability that you only need to survey at most three pages in order to find one that advertises footwear on it?

i. How many pages do you expect to need to survey in order to find one that advertises footwear?

We know that for a probability distribution function to be discrete, it must have two characteristics. One is that the sum of the probabilities is one. What is the other characteristic?

Use the following information to answer the next five exercises: Javier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five events 35%of the time, four events 25%of the time, three events 20%of the time, two events 10%of the time, one event 5%of the time, and no events 5% of the time.

P(x=4)=_______P(x = 4) = _______

Find the probability that Javier volunteers for at least one event each month.

P(x>0)=_______

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