Statistics and Probability Answers

A poll is given, showing 80% are in favor of a new building project.

If 7 people are chosen at random, what is the probability that fewer than 5 of them favor the new building project? 

Probability =    (Please show your answer to 4 decimal places)

Assume Binomial Distribution with n = 10 and p = 0.6. Please show your answers to 4 decimal places.

P(X = 4) =  

P(X ≤ 4) =   

P(X < 4) = 

P(X >4) =   

P(X ≥ 4) = 

According to the American Red Cross, 8.9% of all Connecticut residents have Type B blood. A random sample of 16 Connecticut residents is taken.

X = the number of CT residents that have Type B blood, of the 16 sampled.

What is the expected value of the random variable X?

A binomial experiment consists of 11 trials. The probability of success on trial 4 is 0.46. What is the probability of success on trial 8?

The correct size of a nickel is 21.21 millimeters. Based on that, the data can be summarized into the following table:

Too SmallToo LargeTotalLow Income172340High Income251035Total423375

Based on this data: (give your answers to parts a-c as fractions, or decimals to at least 3 decimal places. Give your to part d as a whole number.)

a) The proportion of all children that drew the nickel too small is:     

Assume that this proportion is true for ALL children (e.g. that this proportion applies to any group of children), and that the remainder of the questions in this section apply to selections from the population of ALL children.

b) If 5 children are chosen, the probability that exactly 2 would draw the nickel too small is:    

c) If 5 children are chosen at random, the probability that at least one would draw the nickel too small is:    

The correct size of a nickel is 21.21 millimeters. Based on that, the data can be summarized into the following table:

Too SmallToo LargeTotalLow Income172340High Income251035Total423375

Based on this data: (give your answers to parts a-c as fractions, or decimals to at least 3 decimal places. Give your to part d as a whole number.)

a) The proportion of all children that drew the nickel too small is:     

Assume that this proportion is true for ALL children (e.g. that this proportion applies to any group of children), and that the remainder of the questions in this section apply to selections from the population of ALL children.

b) If 5 children are chosen, the probability that exactly 2 would draw the nickel too small is:    

c) If 5 children are chosen at random, the probability that at least one would draw the nickel too small is:    

A company prices its tornado insurance using the following assumptions:

• In any calendar year, there can be at most one tornado. 

• In any calendar year, the probability of a tornado is 0.04. 

• The number of tornadoes in any calendar year is independent of the number of tornados in any other calendar year.

Using the company's assumptions, calculate the probability that there are fewer than 2 tornadoes in a 16-year period.

The quality grade point average gpa of 200level economics student follows approximately a normal distribution with mean of 3.4 and SE of 2.2.How many of these students would expect to have a score between 3.5 and 4.5 inclusive,if the grade point average are computed to the nearest tenth

A certain store has four ways of handling returns: cash refund, credit to account, exchange, or refusal. The manager claims that the four ways are equally probable.to test this hypothesis, 108 customers were sampled with the following results 

Type

Cash

Credit

exchange

Refusal

Count

34

27

32

15

 Does the data support the managers claim at 5 %

If a 30-week deadline is imposed, what is the probability that the project will be finished within the time limit?

If the project manager wants to be 99% sure that the project is completed on the scheduled date, how many weeks before that date should he start the project work? (Please explain the answer of only this part of the question in brief)

Given Data:-

Variance of project (Sum of variance of critical activity) = 6

Expected project length of critical path = 5 + 15 + 4 + 5 = 29 weeks.