Business
Engineering
Math
Science
Social Science4. The heights of adult males in Iceland are normally distributedwith mean 181.7 cm and standard deviation 6.8 cm.a) What is the probability that an adult male chosen at random isbetween 181.7 cm and 190 cm tall?b) What percentage of the adult male population is more than 5 feet9 inches tall?RetakeUse Photo
Image Transcriptionclose
4. The heights of adult males in Iceland are normally distributed with mean 181.7 cm and standard deviation 6.8 cm. a) What is the probability that an adult male chosen at random is between 181.7 cm and 190 cm tall? b) What percentage of the adult male population is more than 5 feet 9 inches tall? Retake Use Photo
Expert Answer
Let X be the height of adult males in Iceland. It is given that height of adult males follows Normla distribution with mean=181.7cm and standard deviation=6.8cm
To find probability the first step is to convert given x values into z score.The z score formula is shown on the board.
a) Probability that an adult male chosen at random is between 181.7cm and 190cm tall is
Using Z score table to find the probability below z=1.22 and z=0
P(Z <1.22) = 0.8888 and P(Z<0)= 0.5
So, P(Z<1.22) - P(Z<0) = 0.8888-0.5 = 0.3888
Hence, probabiity that an adult male chosen at random is between 181.7cm and 190cm tall is 0.3888
b) The percentage of adult male population is more than 5 feet and 9 inces tall
Convert 5feetand 9 inch into cm
1foot =12 inches
so, 5 feet =12*5 = 60inches
60+9inches=69inches
1Inch =2.54cm
So, 69inch = 69 *2....
Math
Statistics
Other
Related Statistics Q&A
Find answers to questions asked by student like you
Show more Q&A addQ: See attachment.
A: Given X(n,p) is a binomial random variable with parameters n,p.n is total number of trailsp is proba...
Q: For frecuency distribution for us governor 2019. Party. Frequency Democratic. ...
A: Given question have more than three sub parts. According to our policies cannot answer more than thr...
Q: figts, inclusive, are on time. 22. Morality In a recent poll, the Gallup Organization found that 45%...
A: Normal approximation to the binomial:From the given information, it is clear that n = 500The probabi...
Q: The standard treatment for a disease works in 0.65 of all patients. A new treatment is patients (of ...
A: (a)The provided details are:
Q: Jane has stored three albums on her iPod. The first album consists of 11 songs by Frank Sinatra, the...
A: According to the given question, Jane has stored three albums on her iPod.The first album consists o...
Q: A study was done to look at the relationship between number of lovers college students have had in t...
A: The estimated regression line is as follows:
Q: The numbers of faculty at 32 randomly selected state-controlled colleges and universities with enrol...
A: Confidence interval:The (1-α) % confidence interval for population mean µ, when σ is known is given ...
Q: Which statement regarding dependent t-tests is false? A. One disadvantage is called the “carry ef...
A: The dependent t-test is also known as the paired t-test which is used to compare two means when the ...
Q: A physician wants to determine if a supplement is effective in helping men lose weight. She takes a ...
A: It is given that the sample size (n) is 6 and the hypothesized test is left- tailed. The level of si...
