A) Suppose X is normally distributed with mean 10 and standard deviation 2. Then P(X > 15) = P(Z > __) where Z is standard normal. (Fill in the blank.)
Solution :
Given that,
mean = = 10
standard deviation = = 2
P(x > 15) = 1 - P(x< 15)
= 1 - P[(x -) / < (15-10) /2 ]
= 1 - P(z <2.5 )
Using z table
= 1 - 0.9938
probability=0.0062
answer (Fill in the blank.)
P(Z > _2.5_) where Z is standard normal.
A) Suppose X is normally distributed with mean 10 and standard deviation 2. Then P(X >...
Please answer this question Suppose X is normally distributed with mean 1 and standard deviation 0.25, and Y... Suppose X is normally distributed with mean 1 and standard deviation 0.25, and Y is also normal with mean 1.5 and standard deviation 0.4. Suppose that X and Y have correlation coefficient 0.6. Find the following probabilities: (a) P(X 2 1.3) (b) P(X+y-2.5) (c) P(X +Y 2 3) (d) P(Y - X so) (e) P(Y <X)
x is distributed normally with mean 10, standard deviation 5. The P ( x ≥ 11 ) is an upper-tail probability
2. Suppose that the normally distributed random variable X has mean and standard deviation a. Calculate the z-score of the value x=36. b. Calculate the value that corresponds to a Z-score of a)x= 36 22 b)2=-24 -
20.Suppose x is normally distributed with mean 2,825 and standard deviation 250. Find P(2,700 ≤ x ≤ 3,200).
Random variable X is normally distributed with mean 10 and standard deviation 2.Compute the following probabilities.a. Pr(X<10) b. Pr(X<11.04)I don't know where to start.
X is a normally distributed variable with mean p = 30 and standard deviation o = 4. Find P(x < 40)
Suppose X is a normally distributed random variable with mean 67 and standard deviation 13. Then P ( 47 ≤ X ≤ 84 ) is roughly
3. Suppose that X is normally distributed with mean 75 and standard deviation 10. Determine the following: a) P(X > 90) b) P(X> 60) e) P(65 <X < 75) d) Find the value for α that satisfies the equation P(75-α < X < 75+a) = 0.80128.
Question 13 4 pts Z-scores A variable is normally distributed, with mean 118 and standard deviation 30. What is the Z-score when x = 100? (Select] What x value is 1.5 standard deviations above the mean? [Select) > Question 14 6 pts Normal Distribution A variable is normally distributed, with mean 118 and standard deviation 30. What is P(60 SXS 160)? (Select) What is P(x2130)? Select) What is the top 10%? [Select
Assume the random variable X is normally distributed with mean is 52 and the standard deviation is 10. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(X>42) Use the standard normal distribution table.