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- Using the standard normal distribution table, compute the following probabilities P(Z ≥1.92) is:the following probability distribution represents the number of people living in a household (x), and the probability of occurrence (p(x). compute the expected value (mean), the variance, and standard deviation for the random variable. calculations for the mean.x 1 2 3 4 5p(x) .33 .29 .27 .07 .04Beer bottles are filled so that they contain an average of 330 ml of beer in each bottle. The amount of beer in a bottle is normally distributed with a standard deviation of 2.9 ml. 21 What is the probability that a randomly selected 6-pack of beer will have a mean amount in 6 bottles less than 328ml? a 0.0292 b 0.0365 c 0.0456 d 0.0570
- If the mean of the following probability distribution is 3.44, what is the variance? Select one: a. 1.25 b. 9.64 c. 13.08 d. 16.52Anticipated consumer demand in a restaurant for free-range steaks next month can be modeled by a normal random variable with mean 1,200 pounds and standard deviation 100 pounds. a. What is the probability that demand will be between 1,100 and 1,300 pounds? Calculate in 4 decimal place. b. The probability is 0.10 that demand will be more than how many pounds?The proportion of vehicles which drive above the speed limit on a freeway is 85%. Suppose 100 vehicles are randomly clocked. 20 If each speeding vehicle is issued a $185 speeding ticket, the expected value of the ticket amount is $________. a $15,725 b $14,560 c $13,480 d $12,485
- A car salesperson estimates the following probabilities for the number of cars that she will sell in the next week: Number of cars 0 1 2 3 4 5 Probability 0.10 0.20 0.35 0.16 0.12 0.07 a. Find the expected number of cars that will be sold in the week.b. Find the standard deviation of the number of cars hat will be sold in the week. c. The salesperson receives a salary of $250 for the week, plus an additional $300 for each car sold. Find the mean and standard deviation of her total salary for the week. d. What is the probability that the salesperson’s salary for the week will be more than $1,000?The closing price of Martin's Sporting Goods Inc. common stock is uniformly distributed between $25 and $36 per share. What is the probability that the stock price will be more than $32?A company that manufactures and sells T-shirts for sporting events, is providing shirts for an upcoming tournament. Each shirt will cost $7 to produce and will be sold for $13. Any unsold shirts at the end of the tournament can be sold for $5 apiece in the near future. The company assumes the demand for the shirts will be 1,500,3,000,4,500, or 6,000. The company also estimates that the probabilities of each of these sales levels occurring will be 20%, 25%,25%, and 30%, respectively. Determine the expected monetary value of the project if the company chooses to print 4,500 shirts for the tournament. The expected monetary value is---- (Type a whole number.)
- An operation manager at an electronics company wants to test their amplifiers. The design engineer claims they have a mean output of 364 watts with a standard deviation of 12 watts. What is the probability that the mean amplifier output would be greater than 364.8 watts in a sample of 52 amplifiers if the claim is true? Round your answer to four decimal places.aaaaas An operation manager at an electronics company wants to test their amplifiers. The design engineer claims they have a mean output of 451 watts with a variance of 144 . What is the probability that the mean amplifier output would be less than 449.8 watts in a sample of 76 amplifiers if the claim is true? Round your answer to four decimal places.The accompanying table gives the outcomes and probability distribution of the number of times a student checks her e-mail daily: Outcome (X) (number of email checks) Probability Distribution f(x) 0 0.05 1 0.15 2 0.30 3 0.25 4 0.15 5 0.08 6 0.02 Calculate the expected value and the variance.