Find the indicated probability. A sample space consists of 174 separate events that are equally likely. What is the probability of each?
From the information provided, create the sample space of possible outcomes. Flip a coin twice.
HH, TT, HT, HT
HH, HT, TH, TT
HH, HT, TT
Find the indicated probability. A spinner has equal regions numbered 1 through 2What is the probability that the spinner will stop on an even number or a multiple of 3?
Find the indicated probability. Round to the nearest thousandth. A study conducted at a certain college shows that 55% of the school’s graduates find a job in their chosen field within a year after graduation. Find the probability that among 7 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.
Evaluate the expression. 4!
Solve the problem. How many ways can 6 people be chosen and arranged in a straight line if there are 8 people to choose from?
Find the mean of the given probability distribution. Choose A, B, C, or D
x / P(x)
Assume that a researcher randomly selects 14 newborn babies and counts the number of girls selected, x. The probabilities corresponding to the 14 possible values of x are summarized in the given table. Answer the question using the table. Find the probability of selecting exactly 8 girls.
Provide an appropriate response. In a game, you have a 1/36 probability of winning $94 and a 35/36 probability of losing $8. What is your expected value?
Determine whether the given procedure results in a binomial distribution. If not, state the reason why. Rolling a single die 57 times, keeping track of the numbers that are rolled.
Not binomial: there are too many trials.
Not binomial: the trials are not independent.
Procedure results in a binomial distribution.
Not binomial: there are more than two outcomes for each trial.
Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal places. n = 5, x = 2, p = 0.70
Find the indicated probability. Round to three decimal places. A test consists of 10 true/false questions. To pass the test a student must answer at least 6 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test?
Find the standard deviation, , for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth. n = 21; p = 0.2
Use the Poisson Distribution to find the indicated probability. If the random variable x has a Poisson Distribution with mean 6, find the probability that x = 2.
Use the Poisson model to approximate the probability. Round your answer to four decimal places. Suppose the probability of a major earthquake on a given day is 1 out of 15,000. Use the Poisson distribution to approximate the probability that there will be at least one major earthquake in the next 2000 days.
Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your finding to state whether or not the given r represents a significant linear correlation. Use a significance level of 0.05. r = 0.523, n = 25
Critical values: r = ±0.487, significant linear correlation
Critical values: r = ±0.396, no significant linear correlation
Critical values: r = ±0.396, significant linear correlation
Critical values: r = ±0.487, no significant linear correlation
Construct a scatterplot for the given data. Choose A, B, C, or D.