suppose the random variable x follows a normal distibution with mean 53 and standard deviation 10
a) P(X<43)
b) P(X<60)
c) P(48<X<68)
Given that, mean (μ) = 53 and standard deviation = 10
a) We want to find, P(X < 43)
=> P(X < 43) = 0.1587
b) We want to find, P(X < 60)
=> P(X < 60) = 0.7580
c) We want to find, P(48 < X < 68)
=> P(48 < X < 68) = 0.6247
suppose the random variable x follows a normal distibution with mean 53 and standard deviation 10 a) P(X<43) b) P(X&l...
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)=
Questions 12–14. Random variable X follows a normal distribution with mean 60 and standard deviation 10. 12. The 10th percentile of X is closest to (a) 24.5 (b) 34.2 1(c) 47.2 (d) 52.7 (e) 58.3 13. Which one of the following probabilities is equal to P(40 < X < 48)? J(a) P(72 < X < 80) (b) P(64 < X < 72) (c) P(50 < X < 58) (d) P(80 < X < 88) (e) P(56 < X < 64)...
Suppose X is a normal random variable with mean p = 49 and standard deviation o = 8. (a) Compute the z-value corresponding to X = 37. (b) Suppose the area under the standard normal curve to the left of the Z-value found in part (a) is 0.0668. What is the area under the normal curve to the left of X = 37? (c) What is the area under the normal curve to the right of X = 37?
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?
4 Suppose the random variable X follows a normal distribution with mean u = 54and standard deviation o = 10. Calculate each of the following. In each case, round your response to at least 4 decimal places. a) P(X < 42) = Number b) P(X > 61) = Number c) P(49< X < 69) = Number
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 x is a normal distribution random variable with mean 10 and standard deviation 1.5. Find a value of xo such that p(x>xo)=90%. Group of answer choices 10+(-0.25)*1.5 10+1.28*1.5 10+(-1.28)*1.5 10+(-0.1)*1.5
Suppose X is a normal random variable with mean μ = 100 and standard deviation σ = 10. Find a such that P(X ≥ a) = 0.04. (Round your answer to one decimal place.) a =
Suppose X is a normal random variable with mean p = 64 and standard deviation o=6. (a) Compute the z-value corresponding to X = 56. (b) Suppose the area under the standard normal curve to the left of the Z-value found in part (a) is 0.0912. What is the area under the normal curve to the left of X= 56? (c) What is the area under the normal curve to the right of X= 56? (a) z= (Round to two...
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 ) =