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- 5) The sticker on Nestle's crunch bar reads 25 grams. Suppose that the probability distribution of the weight of a crunch bar is known to follow a normal distribution with variance of 2.5 and mean 26 grams. Assume that the weight of one crunch bar that is randomly chosen from Boxer shop is given by Y. Calculate the probability that the weight of a crunch bar selected from the shelf at Boxer will not exceed 30 grams. A. 0.0066 B. 0.9943 C. 0.8154 D. 0.0127Encircle the letter that corresponds to the correct answer. Explain step-by-step.find the standard deviation and variance
- 10. Consider the following probability distribution: ( 2 4. 0.5 0.3 0.2 a. Find P(X = 4). b. Find P(X < 2). Find the mean.5. A commuter must pass through 4 different traffic lights on her way to work and will have to stop at each one that is red. She estimates the probability model for the number of red lights she hits, as shown below.X P(X) 0 0.05 1 0.25 2 0.35 3 0.20 4 0.15 c. How many red lights should she expect to hit each day?d. What is the standard deviationSuppose we take a sample of size 30 from a geometrical distribution 200 times. Draw a graph of the distribution of X¯n, this is a histogram of 200 values of the sample mean. Calculate the expected value and variance of X¯n. How is X¯ n distributed - name the distribution. Use an important theorem. Do it in R commander.
- Use the scenario below to determine the correct values of n, p, q and x of the binomial distribution. Suppose that in a certain video game there is a 5.1% item drop rate of wild meat after defeating a Beast Master. Assume 14 Beast Masters are defeated. What is the probability that 5 wild meats will drop? n = p = q = X =A group consists of 5 Democrats and 8 Republicans. 7 people are selected to attend a conference.a. In how many ways can 7 people be selected from this group of 13?b. In how many ways can 7 Republicans be selected from the 8 Republicans?c. Find the probability that the selected group will consist of all Republicans.The probability is 0.35 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In nine traffic fatalities, find the probability that the number, Y, which involve an intoxicated or alcohol-impaired driver or nonoccupant is a. exactly three; at least three; at most three. b. between two and four, inclusive. c. Find and interpret the mean of the random variable Y. d. Obtain the standard deviation of Y. a. The probability that exactly three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is enter your response here. (Round to four decimal places as needed.) Part 2 The probability that at least three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is enter your response here. (Round to four decimal places as needed.) Part 3 The probability that at most three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is enter your…
- A. COMPUTE THE MEAN, VARIANCE, STANDARD DEVIATION OF THE PROBABILITY DISTRIBUTION THEN ANSWER THE QUESTIONS BELOW. 1. BASED ON THE ANSWER FOR THE MEAN, WHAT IS THE AVERAGE NUMBER OF DEFECTIVE CELL PHONES WOULD GET WHEN TEST THREE PHONES? 2. WHAT IS THE VARIANCE COMPUTED? 3. WHAT IS THE STANDARD DEVIATION COMPUTED?do a , b, cThe probability is 0.35 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In six traffic fatalities, find the probability that the number, Y, which involve an intoxicated or alcohol-impaired driver or nonoccupant is a. exactly three; at least three; at most three. b. between two and four, inclusive. c. Find and interpret the mean of the random variable Y. d. Obtain the standard deviation of Y. Only typing answer Please explain step by step
