Suppose a density curve has area 0.891 to the left of 10. What is the area to the right of 10? Explain your answer. (2 marks)

Determine the-scores0.11and0.003. (4 marks)

A certain brand of paint sells cans in which the volume of paint follows a normal

distribution with a mean of 946 mL and a standard deviation of 5.5 mL.

a) Find the percentage of cans with volume above 950 mL. (3 marks)

b) Find the percentage of cans whose volume is between 940 mL and 950 mL. (4 marks).

c) Determine the 30th percentile for the volume of paint. (3 marks)

d) Determine the volume that captures the top 5% of volumes among cans of paint. (3 marks)

e) A can is rejected by the quality control department if it contains less than 935 mL. What percentage of cans are rejected? (3 marks)

f) A can is rejected by the quality control department if it contains less than 935 mL. Compute the probability of at least one rejection among a random sample of 3 cans of paint. (5 marks)

Explain in plain language what is meant by "the sampling distribution of the sample mean." (2 marks)

Suppose a population has mean and standard deviation . What are the mean and standard deviation of all sample means, for samples of size n? (2 marks)

Do your answers to question 5 depend on population shape? What about the sample size? ( 2 marks)

There are two different conditions, under which the sampling distribution of the sample mean is approximately normal. What are these conditions? (2 marks)

Let denote the amount of time a randomly selected customer spends in a retail store. Suppose X follows a distribution with a mean of 10 minutes and a standard deviation of 6 minutes. Its density curve is given below.