Let x be a random variable that represents the height, in inches, of an adult (18 years old or older) female in the U.S. Then x has an approximate normal distribution with mean μ=63.5 and standard deviation σ=3. Find the probability that a randomly chosen adult female in the U.S is at most 66 inches tall. Hint: you must find P (x≤66)
Let x be a random variable that represents the height, in inches, of an adult (18...
7. Let X be the random variable denoting the height of a randomly chosen adult individ- ual. If the individual is male, then X has a normal distribution with mean of = 70 inches with standard deviation of σ| 3.5 inches: while if the individual is female. then X has a normal distribution with mean μ0-66 inches and standard deviation of ơ0 3 inches. |Note: For computing probabilities and quantiles for the normal distribution, use the R functions pnorm, dnorm,...
7. Let X be the random variable denoting the height of a randomly chosen adult individ- ual. If the individual is male, then X has a normal distribution with mean of = 70 inches with standard deviation of σ| 3.5 inches: while if the individual is female. then X has a normal distribution with mean μ0-66 inches and standard deviation of ơ0 3 inches. |Note: For computing probabilities and quantiles for the normal distribution, use the R functions pnorm, dnorm,...
Let x be a random variable that represents the Law School Aptitude Test (LSAT) score of a law school applicant. Then x has a normal distribution with mean μ=150 and standard deviation σ=10. Find the probability that the LSAT score of a randomly chosen law school applicant is at least 170. Hint: You must find P (x ≥ 170).
According to a study done by UCB students, the height for Martian adult males is normally distributed with an average of 66 inches and a standard deviation of 2.5 inches. Suppose one Martian adult male is randomly chosen. Let X = height of the individual. Round all answers to 4 decimal places where appropriate. a. What is the distribution of X? X ~ N(,) b. Find the probability that the person is between 63.5 and 69 inches. c. The middle...
mean = 64.1 inches. standard deciation = 3.8 inches
answer a,b,c,d
if
75% of women are shorter than alice, what is her height?
if 40% if women are taller than liz, what s her height?
E) find and interperet the 80th percentile of this
distribution
23. Let X be the actual height, in inches, of an adult female. X is approximately normally distributed with mean of 64.1 inches and standard deviation of 3.8 inches. a) Compute the probability that a...
Let x be a random variable that represents the resting heart rate for an adult horse. Assume that x has a distribution that normal. The middle 95% of the distribution has a range of heart rates between 25 to 71 beats per minute. Find the mean and standard deviation of this distribution.
Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female deer (does) in December in a national park. Then x has a distribution that is approximately normal with mean μ = 50.0 kg and standard deviation σ = 8.6 kg. Suppose a doe that weighs less than 41 kg is considered undernourished. (a) What is the probability that a single doe captured (weighed and released) at random in December is undernourished? (Round your...
Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female deer (does) in December in a national park. Then x has a distribution that is approximately normal with mean μ = 70.0 kg and standard deviation σ = 7.3 kg. Suppose a doe that weighs less than 61 kg is considered undernourished. (a) What is the probability that a single doe captured (weighed and released) at random in December is undernourished? (Round your...
Let the random variable X follow a normal distribution with a mean of μ and a standard deviation of σ. Let X 1 be the mean of a sample of 36 observations randomly chosen from this population, and X 2 be the mean of a sample of 25 observations randomly chosen from the same population. a) How are X 1 and X 2 distributed? Write down the form of the density function and the corresponding parameters. b) Evaluate the statement:...
According to a study done by De Anza students, the height for Asian adult males is normally distributed with an average of 66 inches and a standard deviation of 2.5 inches. Suppose one Asian adult male is randomly chosen. Let x-height of the individual Give the distribution of X Part() Find the probability that the person is between 65 and 6 inches Write the probability statement PC 65 What is the probably (Round your answer to four decimal places 0.57028...