Mathematics, 07.05.2021 20:20, ashleyuchiha123
The following histogram shows the relative frequencies of the heights, recorded to the nearest inch, of a population of women. The mean of the population is 64.97 inches, and the standard deviation is 2.66 inches.
One woman from the population will be selected at random.
Question 3
(c) The histogram displays a discrete probability model for height. However, height is often considered a continuous variable that follows a normal model. Consider a normal model that uses the mean and standard deviation of the population of women as its parameters.
(i) Use the normal model and the relationship between area and relative frequency to find the probability that the randomly selected woman will have a height of at least 67 inches. Show your work.
(ii) Does your answer in part (c-i) match your answer in part (a) ? If not, give a reason for why the answers might be different.
Question 4
(d) Let the random variable H represent the height of a woman in the population. P(H<60) represents the probability of randomly selecting a woman with height less than 60 inches. Based on the information given, the probability can be found using either the discrete model or the normal model.
(i) Give an example of a probability of H that can be found using the discrete model but not the normal model. Explain why.
(ii) Give an example of a probability of H that can be found using the normal model but not the discrete model. Explain why.
Answers: 1
Mathematics, 21.06.2019 21:30, allisonboggs85
Two airplanes start at the same place and travel in opposite directions, one at 395 miles per hour and the other at 422 miles per hour. how many hours will it take for the planes to be 2451 miles apart?
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Mathematics, 22.06.2019 02:10, toxsicity
Susan is paying $0.30 per $100 on her $483,000 home in homeowners insurance annually. if her annual homeowners insurance premium is divided into twelve equal monthly installments to be included on each of her monthly mortgage payments of $2,128.00, what is her total monthly payment?
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The following histogram shows the relative frequencies of the heights, recorded to the nearest inch,...
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