Question

In: Math

Assume that female students’ heights are normally distributed with a mean given by µ = 64.2...

Assume that female students’ heights are normally distributed with a mean given by µ = 64.2 in. and a standard deviation given by σ =2.6 in.

a) If one female student is randomly selected, find the probability that her height is between 64.2 inches and 66.2 inches

b) If 25 female students are randomly selected, find the probability that they have a mean height between 64.2 inches and 66.2 inches

Solutions

Expert Solution


Related Solutions

1. Assume that female students’ heights are normally distributed with a mean given by µ =...
1. Assume that female students’ heights are normally distributed with a mean given by µ = 64.2 in. and a standard deviation given by σ =2.6 in. a) If one female student is randomly selected, find the probability that her height is between 64.2 in. and 66.2 in. b) If 25 female students are randomly selected, find the probability that they have a mean height between 64.2 in. and 66.2 in.
The heights of female students in a university are approx normally distributed with a mean of...
The heights of female students in a university are approx normally distributed with a mean of 162 cm and a standard dev of 8 cm. Explain your answers. a) Approx 68% of all female students in a university will have heights between ____ cm and ____ cm. b) Heights greater than ____ cm would be considered peculiar.
) Suppose College male students’ heights are normally distributed with a mean of µ = 69.5...
) Suppose College male students’ heights are normally distributed with a mean of µ = 69.5 inches and a standard deviation of σ =2.8 inches. What is the probability that randomly selected male is at least 70.5 inches tall? If one male student is randomly selected, find the probability that his height is less than 65.2 inches or greater than 71.2 inches. How tall is Shivam if only 30.5% of students are taller than him There are 30.5% of all...
Assume that​ women's heights are normally distributed with a mean given by ​, 62.6 and a...
Assume that​ women's heights are normally distributed with a mean given by ​, 62.6 and a standard deviation given by 2.8 . ​(a) If 1 woman is randomly​ selected, find the probability that her height is less than 63 in. ​(b) If 49 women are randomly​ selected, find the probability that they have a mean height less than 63 in.
Assume that​ women's heights are normally distributed with a mean given by mu=64.4 in ​, and...
Assume that​ women's heights are normally distributed with a mean given by mu=64.4 in ​, and a standard deviation given by sigma=1.8 in . Complete parts a and b. a. If 1 woman is randomly​ selected, find the probability that her height is between 64.2 in and 65.2 in. The probability is approximately ? . ​(Round to four decimal places as​ needed.) b. If 14 women are randomly​ selected, find the probability that they have a mean height between 64.2...
Assume that women's heights are normally distributed with a mean given by u=63.6in and a standard...
Assume that women's heights are normally distributed with a mean given by u=63.6in and a standard deviation given by = 2.7in. a) if 1 woman is randomly selected, find the probability that her height is less than 64in. b) If 50 women are randomly selected, find the probability that they have a mean height less than 64in.
Assume that? women's heights are normally distributed with a mean given by mu equals 64.6 in?,...
Assume that? women's heights are normally distributed with a mean given by mu equals 64.6 in?, and a standard deviation given by sigma equals 1.9 in. ?(a) If 1 woman is randomly? selected, find the probability that her height is less than 65 in. ?(b) If 50 women are randomly? selected, find the probability that they have a mean height less than 65 in. ?(?a) The probability is approximately nothing. ?(Round to four decimal places as? needed.) ?(b) The probability...
Assume that​ women's heights are normally distributed with a mean given by mu equals 63.4 in​,...
Assume that​ women's heights are normally distributed with a mean given by mu equals 63.4 in​, and a standard deviation given by sigma equals 1.9 in. ​(a) If 1 woman is randomly​ selected, find the probability that her height is less than 64 in. ​(b) If 31 women are randomly​ selected, find the probability that they have a mean height less than 64 in.
Assume that​ women's heights are normally distributed with a mean given by mu equals 64.4 in...
Assume that​ women's heights are normally distributed with a mean given by mu equals 64.4 in and a standard deviation given by sigma equals 2.9 in (a) If 1 woman is randomly​ selected, find the probability that her height is less than 65 in. ​(b) If 45 women are randomly​ selected, find the probability that they have a mean height less than 65
Assume that​ women's heights are normally distributed with a mean given by mu equals 62.1 in​,...
Assume that​ women's heights are normally distributed with a mean given by mu equals 62.1 in​, and a standard deviation given by sigma equals 2.7 in. ​(a) If 1 woman is randomly​ selected, find the probability that her height is less than 63 in. ​(b) If 32 women are randomly​ selected, find the probability that they have a mean height less than 63 in.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT