Chapter 2 Probability Concepts and Applications

131) Compute the F value based on the following:

(a) df1= 2, df2= 4, ?= 0.01

(b) df1= 3 df2= 6, ?= 0.05

132) A call center receives calls from customers at a rate of 2 per min. The time between customer calls follows an exponential distribution.

(a) What is the probability that it takes 1/3 of a minute or less between consecutive customer calls?

(b) What is the probability that it take 1/2 of a minute or more between consecutive customer calls?

133) Arrivals in a university advising office during the week of registration are known to follow a Poisson distribution with an average of 4 people arriving each hour.

(a) What is the probability that exactly 4 people will arrive in the next hour?

(b) What is the probability that exactly 5 people will arrive in the next hour?

134) Explain why event probabilities range from 0 to 1.

135) Using a standard deck of 52 cards, explain why the situation of drawing a 7 and a club is not collectively exhaustive.

136) Name five common probability distributions.

137) If two events (A,B) are mutually exclusive, what is the probability of event A or event B occurring?

138) If two events (A,B) are not mutually exclusive, what is the probability of event A or event B occurring?

139) If two events (A,B) are independent, what is their joint probability?

140) If two events (A,B) are dependent, what is the conditional probability of P(A|B)?

141) If two events (A,B) are independent, then the conditional probability of P(A|B)= ________.

142) Explain what a discrete random variable is.

143) The exponential distribution often describes ________.

144) List the two parameters of the normal distribution.

145) In what way is the F distribution often used?

146) List the parameter(s) of the Poisson distribution.