Giving a normal distribution with mean mu=40 and standard deviation sigma = 10 where the probability...

Giving a normal distribution with mean mu=40 and standard deviation sigma = 10 where the probability that x0<x<x1 = 0.9. What is the Total Area to the left for x1.

Solutions

Expert Solution

Giving a normal distribution with mean mu=40 and standard deviation sigma = 10

where the probability that x0<x<x1 = 0.9.

What is the Total Area to the left for x1.

Here Area between x0 & x1 is 0.90

so P( x0 < x < x1 ) = 0.90

So from graph we can say that

P(x < x0) = 0.05

& P(x > x1) = 0.05

Area left to the x1 = P( x < x1 )

P(x < x1) = 1-P(x > x1)

= 1- 0.05

= 0.95

P(x < x1) = 0.95

Answer: Area left to the x1 is 0.95

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Giving a normal distribution with mean mu= 40 and standard deviation sigma=10 where the probability that...

Giving a normal distribution with mean mu= 40 and standard deviation sigma=10 where the probability that x0<x<x1 = 0.9. What is the value of x0

Derive the variance of a normal distribution with mean Mu and standard deviation Sigma.

Write mu for the mean of a Normal distribution. The value of the standard deviation is...

Write mu for the mean of a Normal distribution. The value of the standard deviation is unknown. We want to test H0: mu = 8 vs H1: mu > 8. A random sample of 15 observations is taken from this distribution, and the sample mean (x-bar) and sample standard deviation (s) are calculated. Then t = (x-bar - 8)/[s/square_root(15)] is calculated, and is found to equal = 1.85. At what levels of significance could we reject H0

The mean of a normal probability distribution is 380; the standard deviation is 10. About 68%...

The mean of a normal probability distribution is 380; the standard deviation is 10. About 68% of the observations lie between what two values? About 95% of the observations lie between what two values? Practically all of the observations lie between what two values?

A) If a normal distribution has a mean µ = 40 and a standard deviation σ...

A) If a normal distribution has a mean µ = 40 and a standard deviation σ = 2, what value of x would you expect to find 2 standard deviations below the mean B) If a normal distribution has a mean µ = 70 and a variance σ2 = 16, what value of x would you expect to find 2.5 standard deviations above the mean? C)If a sample yields a mean xmean = 44 and we know that the sum...

The mean of a normal probability distribution is 460; the standard deviation is 6. a. About...

The mean of a normal probability distribution is 460; the standard deviation is 6. a. About 68% of the observations lie between what two values? Lower Value Upper Value b. About 95% of the observations lie between what two values? Lower Value Upper Value c. Nearly all of the observations lie between what two values? Lower Value Upper Value

In a normal distribution with mean = 27 and standard deviation = 4 Find the probability...

In a normal distribution with mean = 27 and standard deviation = 4 Find the probability for a.) 23 < x < 31 b.) 27<x<35 c.) 25 < x < 30 d.) x>26 e.) x < 24

The mean of a normal probability distribution is 410; the standard deviation is 105. a. μ...

The mean of a normal probability distribution is 410; the standard deviation is 105. a. μ ± 1σ of the observations lie between what two values? Lower Value Upper Value b. μ ± 2σ of the observations lie between what two values? Lower Value Upper Value c. μ ± 3σ of the observations lie between what two values? Lower Value Upper Value

1. Following a normal probability distribution with a mean of 200 and a standard deviation of...

1. Following a normal probability distribution with a mean of 200 and a standard deviation of 10, 95 percent of the population will be between: 200 and 220 180 and 220 180 and 200 less than 180 3. A family of four spends an average of $1000 per month with a standard deviation of $50. This spending follows a normal continuous distribution. What is the probability that a family will spend more than $1050 in a month? (answer to 3 decimal places) 5....

The mean of a normal probability distribution is 380; the standard deviation is 16. About 68%...

The mean of a normal probability distribution is 380; the standard deviation is 16. About 68% of the observations lie between what two values

Subjects