1a. It is estimated that 57% of American households include at least one pet. Consider a random sample of 200 American households. How many households in this sample would you expect to have at least one pet? And with what standard deviation?

To show work, just write out the formulas that you used to calculate these two quantities.

1b. It is estimated that 57% of American households include at least one pet. Consider a random sample of 200 American households.

What is the probability that100 or fewer householdsin the sample have a pet?Please calculate this probability usingthe normal approximation(without the 0.5 corrections).

A. 0.500

B. 0.023

C. 0.008

D. 0.057