Questions 12–14. Random variable X follows a normal distribution with mean 60 and standard deviation 10....
22. A standardized test has a mean of 500 and a standard deviation of 90. for randomly choosing a test score a. The probability is between 440 and 600. b. The 81st percentile is for this test. 23. Below are the percentages of registered voters who in a survey say that they support propositions A, B, and C. percent of the voters report that they do not support any of the propositions. A: 68% B: 64% C: 69% A and...
Suppose the random variable X follows a normal distribution with mean µ = 84 and standard deviation σ = 20. Calculate each of the following: P(X > 100) P(80 < X < 144) P(124 < X < 160) P(X < 50) P(X > X*) = .0062. What is the value of X*?
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)=
If X is a normal random variable with mean μ = 60 and standard deviation σ = 3, find a. P( X > 57 ) = b. P( X < 63 ) = c. P( 58 < X < 62 ) =
The random variable x has the following discrete probability distribution. x 10 11 12 13 14 p(x) 0.20.2 0.10.1 0.20.2 0.30.3 0.20.2 Since the values that x can assume are mutually exclusive events, the event {xless than or equals≤12} is the union of three mutually exclusive events, {x=10}∪(x=11}∪{x=12}. Complete parts a through e. a. Find P(xless than or equals≤12). P(xless than or equals≤12)equals=nothing b. Find P(xgreater than>12). P(xgreater than>12)equals=nothing c. Find P(xless than or equals≤14). P(xless than or equals≤14)equals=nothing d....
Multiple Choice Question Let random variable X follows an exponential distribution with probability density function fx(x) = 0.5 exp(-x/2), x > 0. Suppose that {X1, ..., X81} is i.i.d random sample from distribution of X. Approximate the probability of P(X1 +...+X31 > 170). A. 0.67 B. 0.16 C. 0.33 D. 0.95 E. none of the preceding
QUESTION 1 A random variable X follows a normal distribution with mean 350 and standard deviation 65. If a sample of size 15 is taken, find P(X> 325). (3 decimal places)
Given that x is a normal variable with mean μ = 113 and standard deviation σ = 14, find the following probabilities. (Round your answers to four decimal places.) (a) P(x ≤ 120) (b) P(x ≥ 80) (c) P(108 ≤ x ≤ 117)
Given a random variable X follows a Normal distribution with mean 10 and standard deviation 5, what is the probability that X lies within one standard deviation of the mean?
6. A normal distribution of has a mean of 20 and a standard deviation of 10. Find the z-scores corresponding to each of the following values: (10 points) a) What is the z score for a value of 30? b) What is the z score for a value of 10? c) What is the z score for a value of 15? d) What it P(20<x<30)? e) What is P (x > 10)? ) What is P (x < 15)? g)...