The speeds of a baseball pitcher's fastballs are normally distributed, with a mean of 160 km/h and a standard deviation of 7 km/h. What is the probability that a random fastball exceeds 170 km/h?

Q: The diameter of a brand of tennis balls is approximately normally distributed with a mean of 2.45…

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Q: The weight of bags of apples is normally distributed with a mean of 10kg and a standard deviation of…

A: Let Xa be the weight of apple bags and Xc be the weight of carrot bags. Both, Xa and Xc are normally…

Q: The amount of milk sold each day by a grocery store varies according to the Normal distribution with…

A:

Q: The amount of snowfall falling in a certain mountain range is normally distributed with a mean of…

A:

Q: The number of calories in a certain dessert is normally distributed with a mean of 210 and a…

A: Given: μ=210 and σ=12. The z-score is calculated asz=x-μσ

Q: At a local restaurant, the amount of time that customers have to wait for their food is normally…

A: The mean is 24 and the standard deviation is 3.

Q: The Atlanta Braves baseball team has a mean batting average of 250 with a standard deviation of 20.…

A: Given that, mean (mu)= 250  And standard deviation, sigma= 20 We know that, Z Score is given by, Z…

Q: The sick leave time of employees in a firm in a month is normally with a mean of 100 hours and a…

A: Dgg

Q: The mean daily production of a herd of cows is assumed to be normally distributed with a an of 37…

A: 37 Obtain the standard z-score for the random variable equals 26.1 liters. The standard z-score for…

Q: At a large manufacturing company, the mean age of workers is 37 years, and the standard deviation is…

A: Given: Mean μ = 37 Standard deviation σ=6 Sample Size n = 44 As we know that if X~N(μ, σ) then…

Q: The heights of University players are normally distributed with a mean of 160 cm and a standard…

A:

Q: the average age of bank managers is 40 years. assume the variable is normally distributed. if the…

A: The age of manager is normally distributed with mean μ=40 years and standard deviation σ=5 years. To…

Q: Assume that the women's heights are normally distributed with a mean of 63.7 inches and a standard…

A:

Q: A certain type of battery has a mean shelf life of 600 days with a standard deviation of 28 days. a.…

A: Given data,μ=600σ=28

Q: The average weight of oranges in a box was 74 g and the standard deviation was 12 g. Calculate the…

A:

Q: The weights of college football players are normally distributed with a mean of 200 pounds and a…

A: Z = x¯ - μσn~N(0,1)

Q: The heights of 18 year-old men are approximately normally distributed, with a mean 68 inches and a…

A:

Q: The lengths of pregnancies are normally distributed with a mean of 280 days and a standard deviation…

A: The lengths of pregnancies are normally distributed with a mean of 280 days and a standard deviation…

Q: The heights of students are normally distributed with a mean of 59 inches and a standard deviation…

A:

Q: In the United States, men’s heights have mean of 69 inches, and standard deviation of 3 inches.…

A: Let X be the height of men in United States. X follows normal distribution that has mean µ = 69 and…

Q: A jar of peanut butter is normally distributed with a mean of 16 oz and a standard deviation of 0.02…

A: Given information- Population mean, µ = 16 oz Population standard deviation, σ = 0.02 oz Let, x be…

Q: The volumes of buttermilk in quart bottles are normally distributed with a mean of 32.3 oz and a…

A: Given, mean = 32.3 standard deviation = 1.2 x < 32 oz

Q: Teachers in a city have a normal distribution with an average weekly salary of $ 490 and a standard…

A: Let X denote the teachers in a city and it follows normal distribution with an average weekly salary…

Q: goods

A: Let X be the random variable such that  cholesterol content of a certain canned goods. The average…

Q: An online food delivery service in metro manila has a mean delivery time of 30 minutes with a…

A: Let X denote the delivery time. Given that X follows N(mean = 30, SD = 5), then Z = (X - mean)/SD…

Q: The average cholesterol content of a certain brand of eggs is 210 milligrams, and the standard…

A: Hey, since the question is not specified correctly. Here we are finding the probability that mean…

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A:

Q: The weekly salaries of a group of employees are normally distributed with a mean of $800 and a…

A:

Q: The reading speed of sixth-grade students is approximately normal, with a mean speed of 125 words…

A: Given mean speed of 125 words per minute and a standard deviation of 24

Q: The average age of a vehicle registered in the United States is 96 months. Assume the standard…

A: Let X be the random variable from normal distribution with average or mean (μ) = 96 months, standard…

Q: The Average height of a certain age group of people is 53 inches. The standard deviation is 4…

A: From the given information,   Mean = 53 Standard deviation = 4

Q: he weight of the package is normally distributed with a mean of 650 g and a standard deviation of 42…

A: Given that  The weight of the package is normally distributed with a mean of 650 g and a standard…

Q: On average, weight of carry-on baggage of passengers on planes is 36.7 pounds. Assuming a standard…

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Q: The number of calories in a certain dessert is normally distributed with a mean of 210 and a…

A: We have to find the probability that the dessert one selects will contain between 185 and 216.

Q: The heights of 9-year-old children are normally distributed, with a mean of 123 cm and a standard…

A: It is given that the mean is 123, the standard deviation is 10 and the sample size is 3.

Q: If we know that the length of time it takes a college student to find a parking spot in the library…

A: It is given that the mean length of time taken by a college student to find a parking spot was 3.5…

Q: The mean height of Grade III pupils is 138 cm with a standard deviation of 8 cm. If a sample of 30…

A: We have given that,  X be the random variable from normal distribution with mean = 138, standard…

Q: On the distant planet Cowabunga, the weights of cows have a normal distribution with a mean of 568…

A: Givan Mean=568 standard deviations=76

Q: The grades in a standardized test have a mean of 78, a known standard deviation of 8, and are…

A: Given:

Q: The annual per capita consumption of ice cream (in pounds) in the United States can be approximated…

A: It is given that the mean is 20.7 and the standard deviation is 4.2.

Q: The weights of badgermoles in the Earth Kingdom are normally distributed, with mean weight 1450kg…

A:

Q: Oranges chosen at random have a mean mass of 210 grams and standard deviation of 35 grams. Assuming…

A: We have to find  probability  for given data

Q: Adult males have a mean weight of 179 lbs with a standard deviation of 29 lbs. Find the probability…

A: From the provided information, Mean (µ) = 179 Standard deviation (σ) = 29 X ~N (179, 29) Here X be a…

Q: The diameter of a brand of tennis balls is approximately normally​ distributed, with a mean of 2.53…

A: Let X be the diameter of a brand of tennis balls which follows normal distribution with mean 2.53…

Q: The weights of college football players are normally distributed with a mean of 191 pounds and a…

A: Given,   Mean = 191 Standard deviation = 49

Q: The test scores of 600 students are normally distributed with a mean of 76 and a standard deviation…

A:

Q: The diameter of a brand of ping-pong balls is approximately normally distributed with a mean of 1.5…

A:

Q: The lengths of human pregnancies are normally distributed with a mean of 268 days and astandard…

A: Consider,X be a random variable that represents the lengths of human pregnancy which is normally…

Q: The time it takes to fly from Paris to London is normally distributed. If the mean flight time is 80…

A: We are given with Normal Distribution.