Consider a continuous variable x that has a normal distribution with mean μ = 17.8 and...

Consider a continuous variable x that has a normal distribution with mean μ = 17.8 and standard deviation σ = 4.2. Answer the following questions. Approximate everything to 4 decimal places.

P(x≤17)=P(x≤17)=
P(x≥18)=P(x≥18)=
P(15<x<19)=
The value of x such that the area to your left under the normal curve is 0.3358 is:
The value of x such that the area to your right under the normal curve is 0.2288 is:
The 80th percentile is:
Quartile 2 is:

Expert Solution

orchestra answered 1 year ago

2] Let x be a continuous random variable that has a normal distribution with μ =...

2] Let x be a continuous random variable that has a normal distribution with μ = 48 and σ = 8 . Assuming n N ≤ 0.05 , find the probability that the sample mean, x ¯ , for a random sample of 16 taken from this population will be between 49.64 and 52.60 . Round your answer to four decimal places.

Let x be a continuous random variable that has a normal distribution with μ = 60...

Let x be a continuous random variable that has a normal distribution with μ = 60 and σ = 12. Assuming n ≤ 0.05N, where n = sample size and N = population size, find the probability that the sample mean, x¯, for a random sample of 24 taken from this population will be between 54.91 and 61.79. Let x be a continuous random variable that has a normal distribution with μ = 60 and σ = 12. Assuming n...

Let be a continuous random variable that has a normal distribution with μ = 48 and...

Let be a continuous random variable that has a normal distribution with μ = 48 and σ = 8. Assuming , n/N ≤ 0.05, find the probability that the sample mean, x , for a random sample of 16 taken from this population will be more than 45.30 . Round your answer to four decimal places.

Let the random variable X follow a normal distribution with a mean of μ and a...

Let the random variable X follow a normal distribution with a mean of μ and a standard deviation of σ. Let 1 be the mean of a sample of 36 observations randomly chosen from this population, and 2 be the mean of a sample of 25 observations randomly chosen from the same population. a) How are 1 and 2 distributed? Write down the form of the density function and the corresponding parameters. b) Evaluate the statement: ?(?−0.2?< ?̅1 < ?+0.2?)<?(?−0.2?<...

Let X be a continuous random variable following normal distribution with mean value of: (a is...

Let X be a continuous random variable following normal distribution with mean value of: (a is 1) and standard deviation of b is 1/10 ,  What is the mode of X? (1 mark)  What is median of X? (1 mark)  What is ?(? > ?)? (1mark)  What is ?(? − ? < ? < ? + ?)? (1 mark)  What is ?(? − 1.96? < ? < ? + 1.96?))? (1mark)

Let X be a continuous random variable following normal distribution with mean value of: (a is...

Let X be a continuous random variable following normal distribution with mean value of: (a is the last digit of your student number) and standard deviation of b (b is the last digit of your student number divided by 10), a=9 b=9/10 What is the mode of X? What is median of X? What is P(X>a)? What is P(a-b<X<a+b)? What is P(a-1.96b<X<a+1.96b)?

1) Let x be a continuous random variable that follows a normal distribution with a mean...

1) Let x be a continuous random variable that follows a normal distribution with a mean of 321 and a standard deviation of 41. (a) Find the value of x > 321 so that the area under the normal curve from 321 to x is 0.2224. Round your answer to the nearest integer. The value of x is_______ (b) Find the value of x so that the area under the normal curve to the right of x is 0.3745. Round...

Let X be a continuous random variable having a normal probability distribution with mean µ =...

Let X be a continuous random variable having a normal probability distribution with mean µ = 210 and standard deviation σ = 15. (a) Draw a sketch of the density function of X. (b) Find a value x∗ which cuts left tail of area 0.25 . (c) Find a value y∗ which cuts right tail of area 0.30. (d) Find a and b such that p(a ≤ X ≤ b) = 0.78.

If X is a normal random variable with mean ( μ ) = 50 and standard...

If X is a normal random variable with mean ( μ ) = 50 and standard deviation ( σ ) = 40, then the probability of X > 80 is: a. 0.0000 b. 0.7734 c. 1.0000 d. 0.2266

A. Let x be a continuous random variable that is normally distributed with mean μ=24 and...

A. Let x be a continuous random variable that is normally distributed with mean μ=24 and standard deviation σ=4. Use a graphing calculator to find P(20≤x≤33). The probability is? (Round to 4 decimal places) B. Let x be a continuous random variable that is normally distributed with mean μ=27 and standard deviation σ=4. Use a graphing calculator to find P(19≤x≤35). The probability is? (Round to 4 decimal places) C. Let x be a continuous random variable that is normally distributed...

Question

Consider a continuous variable x that has a normal distribution with mean μ = 17.8 and...

Solutions

Expert Solution

Related Solutions

2] Let x be a continuous random variable that has a normal distribution with μ =...

Let x be a continuous random variable that has a normal distribution with μ = 60...

Let be a continuous random variable that has a normal distribution with μ = 48 and...

Let the random variable X follow a normal distribution with a mean of μ and a...

Let X be a continuous random variable following normal distribution with mean value of: (a is...

Let X be a continuous random variable following normal distribution with mean value of: (a is...

1) Let x be a continuous random variable that follows a normal distribution with a mean...

Let X be a continuous random variable having a normal probability distribution with mean µ =...

If X is a normal random variable with mean ( μ ) = 50 and standard...

A. Let x be a continuous random variable that is normally distributed with mean μ=24 and...