Question

If possible, please show TI-84 calculator steps.

1. Mark Price holds the record for percentage of free throws made in the NBA, at 90.4%. Assuming that each free throw is independent, compute the probability that in his next 5 free throws.

a.) He makes exactly four?

b.) What is the probability that he will make four or more?

c.) What is the probability that he makes fewer than four?

d.) What is the probability that he will make two or less?

2. According to a recent crime report, Colombia in South America has the highest murders (per capita): 0.617847 per 1,000 people in the world. 82.51% of the murders were committed with a firearm (21,898 out of 26,539 murders). Suppose 20 murders are randomly selected.

a.) What is the probability that exactly 16 murders were committed with a firearm?

b.) What is the probability that more than 16 murders were committed with a firearm?

c.) Find the probability that between 10 and 12 murders, inclusive, are committed with a
firearm?

d.) What is the expected number of deaths with a firearm? What is the standard deviation?

Answer 1

1)The the number of throws made out 5 follows Binomial distribution with
The PMF of is

a) The probability he makes exactly four is

b) The probability he makes four or more is

c) The probability he makes fewer than 4 is

​​​​​​​

d) The probability he makes 2 or less is

​​​​​​​

2) We use Binomial distribution with

a)The probability that exactly 16 murders were committed with a firearm is

b)The probability that more than 16 murders were committed with a firearm is

c)The probability that between 10 and 12 murders, inclusive were committed with a firearm is

d) The expected value is

The standard deviation is