Question

Let X~N(219;23) find: P(166 < X < 232)

Let X~N(219;23) find:

P(166 < X < 232)

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

Homework Answers

Answer #1

Solution :

Given that ,

mean = = 219

standard deviation = = 23

X~N (219;23)

P(166 < x < 232) = P[(166 - 219)/ 23) < (x - ) /  < (232 - 219) / 23) ]

= P(-2.3043 < z < 0.5652)

= P(z < 0.5652) - P(z < -2.3043)

= 0.714 - 0.0106

= 0.7034

P(166 < x < 232) = = 0.7034

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
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)
Let X be a binomial random variable with n = 8, p = 0.4. Find the...
Let X be a binomial random variable with n = 8, p = 0.4. Find the following values. (Round your answers to three decimal places.) (a)     P(X = 4) (b)     P(X ≤ 1) (c)     P(X > 1)
Let X be a binomial random variable with n = 100 and p = 0.2. Find...
Let X be a binomial random variable with n = 100 and p = 0.2. Find approximations to these probabilities. (Round your answers to four decimal places.) (c)    P(18 < X < 30) (d)    P(X ≤ 30)
Let X be a binomial random variable with p = 0.7 a) For n = 3,...
Let X be a binomial random variable with p = 0.7 a) For n = 3, find P(X=1) b) For n = 5, find P(X≤3)
Let X ~ N(195; 20). Find: (a) P(X <= 222) (b) P140 < X < 205)...
Let X ~ N(195; 20). Find: (a) P(X <= 222) (b) P140 < X < 205) (c) The first quartile for X (d) The third quartile for X (e) the IQR for X (f) P(|X-195|> 44)
let X be a binomial random variable with n=8 and p=0.6. find the following (a) the...
let X be a binomial random variable with n=8 and p=0.6. find the following (a) the mean of X (b) the standard deviation of X (c) P(X<4) (d) P(X>5) (e) P(3<X<6)
Let X be a binomial random variable with n = 10 and p = 0.2. Find...
Let X be a binomial random variable with n = 10 and p = 0.2. Find the following values. (Round your answers to three decimal places.) (a) P(X = 4) (b) P(X ≥ 4) (c) P(X > 4) (d) P(X ≤ 4) (e) μ = np μ = 2.00 (correct) (f) σ = npq σ = 1.265 (correct)
Please include steps. Let x be a binomial random variable with n=4 and p=0.8. Find the...
Please include steps. Let x be a binomial random variable with n=4 and p=0.8. Find the following. P(X = 3) P(X < 4)
1) Let X be a binomial random variable with p = 0.55, and n= 40. Find...
1) Let X be a binomial random variable with p = 0.55, and n= 40. Find the probability that X is more than 2 standard deviations from the mean of X.
Let X represent a binomial random variable with n = 180 and p = 0.25. Find...
Let X represent a binomial random variable with n = 180 and p = 0.25. Find the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places.) a. P(X ≤ 45) b. P(X = 35) c. P(X > 55) d P(X ≥ 50)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT