Question

Suppose that 60% of college students eat pizza weekly. Answer the following questions if you have a random sample of 50 college students. What is the probability that exactly 29 eat pizza weekly? What is the probability that 35 or fewer eat pizza weekly? What is the probability that more than 32 eat pizza weekly?

Answer 1

Number of college students who eat pizza weekly can be modelled here as:

a) Probability that exactly 29 eat pizza weekly is computed here as:

Therefore 0.1091 is the required probability here.

b) The above given distribution could be approximated to a normal distribution as:

The probability here is computed as:

Applying the continuity correction, we get here:

P(X < 35.5)

Converting it to a standard normal variable, we get here:

Getting it from standard normal tables, we get here:

Therefore 0.9438 is the required probability here.

c) The probability that more than 32 eat pizza weekly is computed here as:

P(X > 32)

Converting it to a standard normal tables, we get here:

Getting it from the standard normal tables, we get here:

Therefore 0.7181 is the required probability here.