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- A shipment of 5 television sets contains 2 defective sets. A hotel makes a random purchase of 2 of the sets. If x is the number of defective sets purchased by the hotel, find the probability distribution of X. Express the results graphically as a probability histogram. Find the probability distribution of X. 1 0 2 X f(x) (Type integers or simplified fractions.)An automotive center keeps track of customer complaints received each week. The probability distributions of complaints are shown below. The random variable, xi, represents the number of complaints, and p(xi) is the probability of receiving xi complaints for two of the stores. The cost impact of each complaint is believed to be y=$10x3 where x is the number of complaints. Store A xi 0 1 2 3 4 5 6 p(xi) 0.10 0.15 0.20 0.25 0.15 0.10 0.05 Store B xi 0 1 2 3 4 5 6 p(xi) 0.10 0.15 0.25 0.22 0.13 0.08 0.07 Sample from these distributions to compute the total number of complaints (store A+B) per week for 52 weeks.A commuter must pass through 5 traffic lights on her way to work each day, and will have to stop at each one that is red. She estimates the probability model for the number of red lights she hits and is shown below. # of red lights Probability 0 0.05 1 0.25 2 0.35 3 0.15 4 0.15 5 0.05 What is the probability that the commuter will stop for at most 3 lights? Express your answer in decimal form as shown in the table.
- Recal the example in class and also in the notes I sent to you. Work again on the example as follows. Example: Suppose that 2 defective microwaves have been included in a shipment of 6 microwaves. The buyers want to test the 6 microwaves one at a time. Let Y denote the number of defective microwaves is found after 3 random selected ones have been tested. Find the probability distribution for Y. Y = the number of defective microwaves found after 3 have been tested What's the possible value of Y? Y P(Y=y) ? ? Questions: 1- Fill the table above with random variables and corresponding probabilities? 2- Calculate the probability that the buyers can find at least 1 defective microwave after 3 have been tested? 3- Find the probability that buyers cannot find any defective microwave after 3 random ones have been tested?Six percent of computer chips produced by Cheapo Chips are defective. Each month a random sample of 200 chips manufactured that month are taken. Let X = the number of defective chips in the sample. Find the probability that 8 or fewer chips in a sample of 200 are defective.Luz has noticed the probability distribution for X = number of cars in line to use the drive-thru ATM when she visits her bank is shown below. X 0 1 2 3 4 P(X) 0.10 0.10 0.40 0.30 0.10 What is the probability mean number of cars in line for the drive-thru ATM when Luz visits her bank?
- An automotive center keeps track of customer complaints received each week. The probability distributions of complaints are shown below. The random variable, xi, represents the number of complaints, and p(xi) is the probability of receiving xi complaints for two of the stores. The cost impact of each complaint is believed to be y=$10x3 where x is the number of complaints. Store A xi 0 1 2 3 4 5 6 p(xi) 0.10 0.15 0.20 0.25 0.15 0.10 0.05 Store B xi 0 1 2 3 4 5 6 p(xi) 0.10 0.15 0.25 0.22 0.13 0.08 0.07 Compute the simulated averages and standard deviations of the number of complaints per week for each store and the total for both stores over the 52 weeks. Compare to the theoretical mean and standard deviations.A certain disease has an incidence rate of 0.2%. The false negative rate is 8%, and the false positive rate is 3%. Calculate the probability that a person who tests positive actually has the disease. 0.0848 Note: The incidence rate is the probability that a random person gets the disease. The false negative rate is the probability of getting a negative result given that the person has the disease. The false positive rate is the probability of getting a positive result given that the person does not have the disease.A particular lake is known to be one of the best places to catch a certain type of fish. In this table, x= number of fish caught in a 6-hour period. The percentage data are the percentages of fishermen who caught x fish in a 6-hour period while fishing from shore. 45% 79% at least 4 1% 35% 12% A USE SALT (b) Find the probability that a fisherman selected at random fishing from shore catches one or more fish in a 6-hour period. (Round your answer to two decimal places.) 66 (c) Find the probability that a fisherman selected at random fishing from shore catches two or more fish in a 6-hour period. (Round your answer to two decimal places.) 21 (d) Compute , the expected value of the number of fish caught per fisherman in a 6-hour period (round at least 4 to 4). (Round your answer to two decimal places.) H= 87 x fish (e) Compute o, the standard deviation of the number of fish caught per fisherman in a 6-hour period (round at least 4" to 4). (Round your answer to three decimal places.) x…
- The random variable X represents the number of cars per household in a town of 1000 households. Find the probability of randomly selecting a household that has at least one car. Please show your . Thank you.When rolling two fair six-sided dice, getting a pair of 1s is called “snake eyes.” The probability of getting “snake eyes” on any roll is 1/36. Suppose that a game player rolls the two dice 80 times. Let X = the number of rolls that result in “snake eyes.” Find P(X = 2). Interpret this value in context.
