determine the following probabilities.   ​a) ​ P(z>1.31​) ​b) ​ P(z>−0.38​) ​c) ​ P(−1.58≤z≤−0.63​) ​d) ​ P(−1.57≤z≤0.20​)

Q: Determine the following probabilities given a normal x-distribution(convert to z first): (a) µ is 8,…

A: Consider X be a random variable which follows normal distribution. (a) The provided data is: µ is 8,…

Q: Suppose that the probability distribution for the number of errors, X, on pages from business…

A: Given, X P (X) 0  0.81 1 0.17 2 0.02     To find, Find the mean number of errors per…

Q: b. Compute the standard deviation. (Type an integer or decimal rounded to three decimal places as…

A:

Q: a) The table beloW shows the probability distribution Of the discrete random variable X. X 3 4 5 7…

A:

Q: A random variable X has a Poisson distribution with mean 1.6. Find: i. P(X=2) ii. P(2<X<4) iii.…

A:

Q: Suppose x is a normally distributed random variable with μ=12 and σ=2. Find each of the following…

A:

Q: 5. Consider a Uniform distribution of U(100, 200) B. Find the following Probabilities: I. P(X > 125)…

A:

Q: For n = 40 and x = 0.8, use the normal distribution to approximate the following probabilities. a.…

A: n = 40 π = 0.8

Q: B. Directions: Consider the random variable T. Find the following probabilities. 1. P(-to.025 <T <…

A: Given, Consider the random variable T.

Q: e. Find the variance and standard deviation of the probability distribution of the random variable X…

A:

Q: II. Find the probabilities for each using the standard normal distribution. Draw the illustration.…

A: a) P(-1.24&lt;z&lt;0)=?=P(Z&lt;0)-P(Z&lt;-1.24)=0.5000-0.1075=0.3925 z-table:

Q: If the random variable X follows a Poisson distribution with parameter 7, what is the probability…

A: given ,  X follows poission distribution (λ=7)

Q: If X is a normally cistributed random variable with a mean of 45 and a standard deviation of 8, find…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Use the binomial distribution formula to:     n = 6, x = 5, p = 0.40  n = 8, x = 5, q = 0.45 n =…

A: 1) From the provided information,

Q: Discrete probability distribution (ii) Expectation (iii) Variance (1)

A:

Q: (a) P(Z ≤ 1.56) = [ −1.18) = 0 (c) P (0.90 < Z < 2.16) =

A:

Q: A random variable, X, has a mean of 50 and standard deviation of 10. Which of the following…

A: we have to find given probability.

Q: F. EVALUATION Direction: Find the mean, variance, and standard deviation of the following…

A: Since you have posted multiple sub-parts of question , we will solve first three sub-parts of…

Q: Find each of the following probabilities for a normal distribution. a.p(z> 2.25)= b.p(z>-1.20)=…

A: We have to find given probability..

Q: 1. For the continuous distribution below, find each of the following probabilities: a. P(X c) c.…

A: Given  A continuous distribution curve. We need to find the following probabilities.

Q: Below is a probability distribution for the number of failures in an elementary statistics course.…

A: Note: Hi! Thank you for the question, As per the honor code, we are allowed to answer three…

Q: Suppose that x, the height in cm of adult women has a normal distribution with mean 170 and standard…

A: Obtain the probability that X is less than 160. The probability that X is less than 160 is obtained…

Q: Q4: Suppose that X has a discrete uniform distribution on the integers 0 through 9. Determine the…

A: According to the given information, we have X follows discrete uniform distribution with parameters…

Q: If X is a normally distributed random variable with a mean of 10 and standard deviation of 4, then…

A: Let the random variable X follows normal distribution with mean 10 and standard deviation 4. The…

Q: he probability that the standard normally distributed variable is between 1.011 and 2.8 is…

A: The objective is to find the probability that the standard normally distributed variable is between…

Q: Provide an original example of some practical case where we can use the normal distribution (e.g.,…

A: Given that,The  mean is, μ=70The standard deviation is, σ=30Let the selected number be 80.To find,1)…

Q: 10. Find each of the following probabilities for a normal distribution. a. p(-1.80 < z < 0.20) b.…

A:

Q: with μ = 12 and d a. P(x214) b. P(x≤9) c. P(12.56 ≤x≤ 17.32) d. P(7.16 ≤x≤ 14.9) Click here to view…

A: given data normal distributionμ = 12σ = 2

Q: Q1. In the manufacturing process of optical storage disks there is a problem of contamination. The…

A: Given Information Average number of particles per centimeter λ= 2.1 Area of disk = 10 cm2 Average…

Q: Find the mean, variance and standard deviation for the probability distribution given below: -4 10…

A:

Q: B. Find the mean, variance, and standard deviation of a discrete random variable X that follows a…

A: