Corn #2 is a standard F2 generation dihybrid cross. The traits you will be following is color and seed shape. The following counts, in red, were determined in the lab

Number of yellow, round 147

Number of purple, round 452

Number of yellow, wrinkled 43 Number of purple, wrinkled 151

What is the expected ratio? Perform a chi square below. Determine your probability value ______ and analyze what that means.

In a shipment of 15 components of a particular computer model, 5 components are defective.

For exercises 1 & 2, let X be the number of defective components discovered when 4 of them are randomly selected for inspection.

1. Define the probability mass function of X.

2. What is the probability that at least 2 defective components are discovered during the inspection?

Use the Poisson Distribution to find the indicated probability. The town of Fastville has been experiencing a mean of 61.5 car accidents per year. Find the probability that on a given day the number of car accidents in Fastville is 3. ​(Assume 365 days in a​ year.) Round to four decimal places.

A. 0.0001

B. 0.0007

C. 0.0008

D. 0.0006

A company begins a direct mailing program. The marketing manager estimates that about 10% of the people receiving the package will place an order. The package is sent to 200 people.

What is the expected value and standard deviation of the distribution?

What is the probability that more than 30 people will place an order?

What is the probability that the number of orders will be between 20 and 30 inclusive?

According to Harper’s index 55% of all federal inmates are serving time for drug dealing. A random sample of 20 federal inmates is selected. What is the probability that 8 or more are serving time for drug dealing? What is the probability that 2 or fewer are serving time for drug dealing? What is the expected number of inmates serving time for drug dealing?

The average number of gallons of lemonade sold during a baseball game is 20, with a standard deviation of 3 gallons. Assume the amount of lemonade sold is normally distributed. When a game is played, find the probability that the amount of lemonade sold is:

A) If 10 games are played, find the probability that the mean amount of lemonade sold is less than 19 gallons

A gas station has a 7% chance of running out of gas. What is the probability the gas station will run out of gas one day in the next week? What is the probability the gas station will run out of gas at least two days in the next week? What is the expected number of times the gas station will run out of gas?

There are ten volunteers, from whom we must choose three people for the committee. Three of the volunteers are women. Define ?? to be the number of women in the group of three that are chosen for the committee.

a. How many ways can you choose three people out of 10?

b. Find the exact probability, ??(?? = 2).

c. Find the exact probability, ??(?? ≥ 2).

Scores for a common standardized college aptitude test are normally distributed with a mean of 512 and a standard deviation of 111. Randomly selected men are given a Test Prepartion Course before taking this test. Assume, for sake of argument, that the test has no effect.

If 1 of the men is randomly selected, find the probability that his score is at least 591.7.
P(X > 591.7) =

Enter your answer as a number accurate to 4 decimal places.

If 7 of the men are randomly selected, find the probability that their mean score is at least 591.7.
P(M > 591.7) =

Enter your answer as a number accurate to 4 decimal places.

If the random sample of 7 men does result in a mean score of 591.7, is there strong evidence to support the claim that the course is actually effective?

Yes. The probability indicates that is is unlikely that by chance, a randomly selected group of students would get a mean as high as 591.7.
No. The probability indicates that is is possible by chance alone to randomly select a group of students with a mean as high as 591.7.