A random variable is known to be normally distributed with the parameters shown below. Complete parts a and b. µ=4.4 σ=0.20 a. Determine the value of x such that the probability of a value from this distribution exceeding x is at most 0.05. Please show work written or excel I am struggling with this question.
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A random variable is known to be normally distributed with the parameters shown below. Complete parts...
Consider the probability distribution for the random variable x shown here. Complete parts a through c below. x 30 40 50 60 70 80 p(x) 0.05 0.20 0.30 0.20 0.10 0.15 a. Calculate μ,σ2,and σ. μ=__________(Type an integer or a decimal. Do not round.) σ2=__________(Type an integer or a decimal. Do not round.) σ=____________(Round to three decimal places as needed.)
Assume that the random variable X is normally distributed, with mean µ = 50 and standard deviation σ = 7. Compute the probability P(X ≤ 58). Be sure to draw a normal curve with the area corresponding to the probability shaded.
Assume that a random variable is normally distributed with a mean of 1,200 and a variance of 360. Complete parts a through c below. What is the probability that a randomly selected value will be greater than 1, 253?
The random variable X is normally distributed. Also, it is known that P(X > 150) = 0.10. [You may find it useful to reference the z table.] a. Find the population mean μ if the population standard deviation σ = 15. (Round "z" value to 3 decimal places and final answer to 2 decimal places.) b. Find the population mean μ if the population standard deviation σ = 25. (Round "z" value to 3 decimal places and final answer to...
The random variable X is normally distributed. Also, it is known that P(X > 173) = 0.04. [You may find it useful to reference the z table.] a. Find the population mean μ if the population standard deviation σ = 10. (Round "z" value to 3 decimal places and final answer to 2 decimal places.) b. Find the population mean μ if the population standard deviation σ = 17. (Round "z" value to 3 decimal places and final answer to...
The random variable X is normally distributed. Also, it is known that P(X > 148) = 0.04. [You may find it useful to reference the z table.] a. Find the population mean μ if the population standard deviation σ = 13. (Round "z" value to 3 decimal places and final answer to 2 decimal places.) b. Find the population mean μ if the population standard deviation σ = 24. (Round "z" value to 3 decimal places and final answer to...
A random variable is normally distributed with a mean of μ = 50 and a standard deviation of σ = 5. What is the probability that the random variable will assume a value that is less than 40? Make sure your answer is between 0 and 1, round to four digits.
Exercise 4 (Continuous Probability) For this exercise, consider a random variable X which is normally distributed with a mean of 120 and a standard deviation of 15. That is, x-.. N (μ = 120, σ. 225) (a) Calculate P(X<95) (b) Calculate P(X > 140) c) Calculate P(95<X<120 (d) Find q such that P(X<)-0.05 (e) Find q such that P(X>) 0.10
The random variable X is known to be uniformly distributed between 2 and 12. Compute E(X), the expected value of the distribution. Please explain how to do this using EXCEL.
6.33 Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the probability that x assumes a value a. between 28 and 34 b. between 20 and 35 6.34 Let x be a continuous random variable that has a normal distribution with a mean of 30 and a stan- dard deviation of 2. Find the probability that x assumes a value a. between 29 and 35 b....