Question: 1) Suppose that random variable X follows a normal distribution with mean 20 and standard deviation 10. Let Y=102X. The probability P(5Y <15) is closest

1) Suppose that random variableXfollows a normal distribution with mean 20 and standard deviation 10.

Let Y=102X. The probability P(5Y<15) is closest to

Group of answer choices

A) 0.0279

B) 0.4995

C) 0.1915

D) 0.4332

E) 0.2417

2) Body Mass Index (BMI) in Toronto is normally distributed with a mean of 27.3 and a standard deviation of 5.6. What BMI do 80% of the Toronto population have less than?

Group of answer choices

A) 30.0

B) 35.1

C) 21.2

D) 28.5

E) 32.0

3)

A market research firm wants to select a large sample to estimate the proportion of Canadians who use domestic products.

The firm wishes to estimate the share with 95% confidence and a 3% margin of error. How large a sample should they select?

Group of answer choices

A) 1320

B) 323

C) 900

D) 750

E) 1068

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