Question

If X~N, p( X > 10) is .16 and the mean of X is 5, what...

If X~N, p( X > 10) is .16 and the mean of X is 5, what is the SD of X ?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Solution:-

Given that,

mean = = 5

x = 10

Using standard normal table,

P(Z > z) = 0.16

= 1 - P(Z < z) = 0.16

= P(Z < z) = 1 - 0.16

= P(Z < z ) = 0.84

= P(Z < 1.0 ) = 0.84

z = 1.0

Using z-score formula,

x = z * +

10 = 1.0 * + 5

= 10 - 5 / 1.0

= 5

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Using the normal distribution, calculate the following probabilities: a) P(X≤16|n=50, p=0.70) b) P(10≤X≤16|n=50, p=0.50)
Using the normal distribution, calculate the following probabilities: a) P(X≤16|n=50, p=0.70) b) P(10≤X≤16|n=50, p=0.50)
Let X ? N(10, 16). Find 1. P(X ? 4) 2. P(?1 < X < 17)...
Let X ? N(10, 16). Find 1. P(X ? 4) 2. P(?1 < X < 17) 3. P(X > 14) 4. P(|X ? 10| > 8)
Given the normally distributed variable X with mean 16 and standard deviation 2.5, find: (a) P(X<10);...
Given the normally distributed variable X with mean 16 and standard deviation 2.5, find: (a) P(X<10); (b) the value of k such that P(X<k)=0.2578; (c) the value of k such that P(X>k)=0.2877; (d) P(12<X<18)
If you are conducting a binomial experiment with p = 0.3 and n = 10:1) What...
If you are conducting a binomial experiment with p = 0.3 and n = 10:1) What is the mean AND standard deviation of successes? 2) What is P(x = 0)? 3) What is P(x = 1)? 4) What is P(x = 2)? 5) What is P(x ≤ 2)?
9. Let X ~ N(186; 16). Find: (a) P(X <= 215) (b) P(140 < X <...
9. Let X ~ N(186; 16). Find: (a) P(X <= 215) (b) P(140 < X < 197) (c) The first quartile for X (d) The third quartile for X (e) the IQR for X (f) P(|X-186|> 35) 10. A soft drink machine discharges an average of 325 ml per cup. The amount of drink is normally distributed with standard deviation of 21 ml. What fraction of cups will contain more than 366 ml? (Keep 4 decimals)
X follows a normal distribution with mean=10 and sd=2, find a. the 30th percentile b. P(9<X<12)
X follows a normal distribution with mean=10 and sd=2, find a. the 30th percentile b. P(9<X<12)
Consider a binomial experiment with n=5 and p=0.20 What is p(x≥2)?
Consider a binomial experiment with n=5 and p=0.20 What is p(x≥2)?
Find the mean for the values of n and p when the conditions for the binomial...
Find the mean for the values of n and p when the conditions for the binomial distribution are met.    n = 100, p = 0.4 24 40 4.9 60 and Which is a probability distribution? X 1 2 3 4 5 P(X) 1/20 2/20 3/20 4/20 5/20 X 2 4 6 8 15 P(X) 1/19 3/19 4/19 4/19 7/19 X 1 2 3 4 5 P(X) 1/10 1/10 1/10 1/10 1/10 None of the above
The hole concentration of silicon is p (x) = (10 ^ 16) * exp (-(x /...
The hole concentration of silicon is p (x) = (10 ^ 16) * exp (-(x / Lp) * 16) and Lp = 2 * 10 ^ -4cm. Assuming the hole diffusion coefficient is Dp = 8cm ^ 2 / sec, calculate the hole diffusion current density at the following location. (a) x = 0, (b) x = 2 * 10 ^ -4 cm (c) x = 10 ^ -3 cm
EVALUATE CNXPXQN-X FOR THE VALUES OF N,X,AD P GIVEN BELOW N=8,X-1,P=1/2 N=7,X=2,P=0.8 N=6, X=4,P=2/5
EVALUATE CNXPXQN-X FOR THE VALUES OF N,X,AD P GIVEN BELOW N=8,X-1,P=1/2 N=7,X=2,P=0.8 N=6, X=4,P=2/5
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT