A survey found that women's heights are normally distributed with mean 63.5 in and standard deviation 2.5 in. A branch of the military requires women's heights to be between 58 in and 80 in. a. Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too short or too tall? b. If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements? Click to view page 1 of the table. Click to view page 2 of the table. %. a. The percentage of women who meet the height requirement is (Round to two decimal places as needed.) Are many women being denied the opportunity to join this branch of the military because they are too short or too tall? O A. No, because the percentage of women who meet the height requirement is fairly smal. O B. Yes, because the percentage of women who meet the height requirement is fairly large. OC. Yes, because a large percentage of women are not allowed to join this branch of the military because of their height. O D. No, because only a small percentage of women are not allowed to join this branch of the military because of their height.

Q: The distribution of passenger vehicle speeds traveling on the Interstate 5 Freeway (I-5) in…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: The time students take to complete an exam follows a uniform distribution and is between 35 minutes…

A: Given data: The time students take to complete an exam follows a uniform distribution. a = 35 b = 60

Q: A survey found that women's heights are normally distributed with mean 63.6 in and standard…

A: Given Information: Mean μ=63.6 Standard deviation σ=2.5 A branch of the military requires​ women's…

Q: A survey found that​ women's heights are normally distributed with mean 63.4 in. and standard…

A: a.   Obtain the percentage of women meeting the height requirement. The percentage of women meeting…

Q: 1. Here is a sample of ten grades on a Math exam: 71, 73, 77, 85, 86, 88, 88, 93, 94, 95. Find the…

A:

Q: A variable is normally distributed with mean 21 and standard deviation 7. Use your graphing…

A: Given X is normal Distributed with mean µ = 21.0 and standard deviation σ = 7.0 now will using…

Q: The speeds of cars travelling on a certain highway are normally distributed with mean 98 km/h and…

A: As per bartleby guideline exapert have to answer first question only.

Q: a. Approximately % of healthy adults in this group have body temperatures within 3 standard…

A:

Q: You are given the following observations:  41, 86, 53, 61, 77, 48, 69, 81, 74, 63, 48, 50, 59, 64.…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: The speed limit of a road is 65 miles per hour. The speed of a car on the highway follows a normal…

A: Note: Hi there! Thank you for posting the question. Unfortunately some portion of the question seems…

Q: The average amount of rainfall in Puerto Rico last month was 3.5 inches, according to the National…

A: Given information Mean µ = 3.5 inches Standard deviation σ = 0.8 inches

Q: Running Time School Average Running Time School Standard Deviation Kia 4.9 5.2 0.15 Alejandra 4.2…

A: Formula for z score: z=score-AverageStandard deviation

Q: The life span of a brand of tireis normally di stributed with a mean of 50,000 miles and a standard…

A:

Q: The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget…

A: Let X denotes the widget weights. Then X~N(43, 32) i.e., μ=43 & σ=3. Part a: Using the empirical…

Q: The Acme Company manufactures widgets. The distribution of widget eights is bell-shaped. The widget…

A: According to the given information in this question We need to answer two parts

Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…

A: Let, X=the distance of fly balls hit to the outfield (in baseball) Given that X is normally…

Q: a used car lot lowers the price of every car in the lot by $300. what effect, if any will this have…

A: Mean, median and mode will decrease by $300.

Q: Combined test scores were normally distributed with mean 1493 and standard deviation 345. Find the…

A:

Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…

A:

Q: The Acme Company manufactures widgets. The distribution of widget eights is bell-shaped. The widget…

A: Let X be the random variable from normal distribution with mean (μ) = 63 and standard deviation (σ)…

Q: e) Compare part a to part b: i. What happens to the mean when the dataset is shifted by 3? ii. What…

A: Normal data :  1,2,3,5,5   When data shifted by 3 :  Data will be :  4,5,6,8,8   When data…

Q: A variable is normally distributed with mean 17 and standard deviation 9. Use your graphing…

A: as per guideline expert have to answer first three subpart only dear student please upload other…

Q: 4. A numerical measure from a population, such as a population mean, is called a.…

A: Ans-  A numerical measure from a population,            such as a population mean, is called

Q: The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget…

A: Solution-: Let, X= The widget weights Given: We find (a) 99.7% of the widget weights lie between…

Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…

A:

Q: 6) A professor timed all students in his Statistics class for how long it took them to complete the…

A: Note: Hi! Thank you for the question. As you have posted multiple sub-parts, we have helped you…

Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…

A: GivenMean =253Standard deviation =45 a)Let X be distribution of distance of fly balls hit to…

Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…

A:

Q: 5. The annual rainfall in a certain region is approximately normally distributed with mean 41.9…

A:

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!