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,...
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...
The mean height of an adult giraffe is 18 feet. Suppose that the distribution is normally distributed with standard deviation 0.8 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. What is the median giraffe height? ft. c. What is the Z-score for a giraffe that is 20.5 foot tall? d. What is the probability that a randomly...