here as z=0.28 for which P(Z<0.28)=0.61
hence correct option is iii)
there is approximately 39% chance of getting a value that is larger than x
(b) Suppose that the random variable X has a normal distribution with mean μ and standard...
Suppose x has a normal distribution with mean μ =45 and standard deviation σ 12 Describe the distribution of x values for sample size n-4. (Round ơ to two decimal places.) 阪- 吸- Describe the distribution of x values for sample size n-16. (Round σ5 to two decimal places.) Describe the distribution of x values for sample size n = 100. (Round 恢ー ox- to two decimal places.)
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:...
Suppose the random variable x has a Poisson Distribution with mean μ = 7.4. Find the standard deviation σ of x. Round your answer to two decimal places.
X is a normal random variable with mean μ and standard deviation σ. Then P( μ− 1.6 σ ≤ X ≤ μ+ 2.6 σ) =? Answer to 4 decimal places.
Suppose the random variable X follows a normal distribution with mean μ=53and standard deviation σ=10. Calculate each of the following. In each case, round your response to at least 4 decimal places. a) P(X<43)= b) P(X>63)= c) P(48<X<68)=
Assume the random variable X is normally distributed with mean μ= 50 and standard deviation σ 7. Find the 87th percentile. The 87th percentlie is Round to two decimal places as needed.) The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips (a) What is the probability that a randomly selected bag contains between 1100 and 1400 chocolate chips, inclusive? (b) What...
Suppose x has a distribution with μ = 11 and σ = 10. (a) If a random sample of size n = 47 is drawn, find μx, σx and P(11 ≤ x ≤ 13). (Round σx to two decimal places and the probability to four decimal places.) μx = σx = P(11 ≤ x ≤ 13) = (b) If a random sample of size n = 61 is drawn, find μx, σx and P(11 ≤ x ≤ 13). (Round σx...
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Suppose x has a distribution with μ = 10 and σ = 7. (a) If a random sample of size n = 40 is drawn, find μx, σ x and P(10 ≤ x ≤ 12). (Round σx to two decimal places and the probability to four decimal places.) μx = σx = P(10 ≤ x ≤ 12) = (b) If a random sample of size n = 63 is drawn, find μx, σ x and P(10 ≤ x ≤ 12)....