Exam 5: Probability: Review of Basic Concepts

The probability of a tornado hitting in your city has been estimated at 0.001.What are the corresponding odds? The odds are ____________________ to ____________________.

The table below gives the probabilities of combinations of religion and political parties in a major U.S.city. Religion Political parties Protestant (A) Catholic (B) Jewish (C) Other (D) Democrat (E) 0.35 0.10 0.03 0.02 Republican (F) 0.27 0.09 0.02 0.01 Independent (G) 0.05 0.03 0.02 0.01 -What is the probability that a randomly selected person would be a Democrat who was not Jewish?

A survey revealed that 21.5% of the households had no checking account,66.9% had regular checking accounts,and 11.6% had NOW accounts.Of those households with no checking account 40% had savings accounts.Of the households with regular checking accounts 71.6% had a savings account.Of the households with NOW accounts 79.3% had savings accounts. The probability that a randomly selected household with a savings account has no checking account is:

In a state lottery,which pays at least one million dollars,six numbers from 1 to 50 are randomly selected.If five have been selected and your ticket matches the first five,what are the odds that the sixth number will make you a millionaire? The odds are ____________________ to ____________________.

Overtime hours A personnel manager is reviewing number of overtime hours worked by employees in her plant.She has compiled the following data: Number. of Overtime Hours Worked No. of Employees (Frequency) Probability P(x) 0 12 0.128 3 18 0.191 4 10 0.106 5 13 0.138 6 15 0.160 7 12 0.128 8 14 0.149 Total 94 1.000 For a randomly selected employee let X be the number of overtime hours worked,and define the following events: A = employee who works no overtime. B = employee who works at least 7 hours overtime. C = employee who works at most 4 hours overtime. -Determine the probability of event B.

One card is randomly selected from a deck of 52 playing cards.Define the following events: A = card selected is a five. B = card selected is a ten. C = card selected is a jack. Find P(not A or not B or not C)using the addition rule.

____________________ refer to the number of different ways in which objects can be arranged in order.

Appliance dealer An appliance dealer calculated the proportion of new dishwashers sold that required various numbers of service calls to correct problems during the warranty period.The records were: No. of service calls Relative frequency 0 0.25 1 0.38 2 0.30 3 0.04 4 0.03 -Let X be the number of service calls during the warranty period for a dishwasher.What is the probability that there will be at least one service call but not more than 3?