Let X equal the IQ of a randomly selected American. Assume X ∼ N(100, 162). What is the probability that a randomly selected American has an IQ below 90? Can you please show every step, especially how you get phi.
Let X equal the IQ of a randomly selected American. Assume X ∼ N(100, 162). What...
IV. Assume that IQ scores are normally distributed, with a mean of 100 and standard deviation of 15. What is the probability that a randomly selected person has an IQ score a greater than 120? b. less than 902 c. between 90 and 120? d. between 105 and 120?
Of n randomly selected engineering students at ASU, X1 owned an HP calculator, and ofn2 randomly selected engineering students at Virginia Tech, X2 owned an HP calculator. Let p, and p2 be the probability that randomly selected ASU and Virginia Tech engineering students, respectively, own HP calculators (a) Model the two random variables X1, X2 as a reasonable random variable with appropriate parameters (b) Show that an unbiased estimator for Ф-Pa) is (X1/nl-X2/n2) (c) What is the standard error of...
a. What is the distribution of X? X ~ N(,)b. Find the probability that a randomly selected person's IQ is over 107. Round your answer to 4 decimal places.c. A school offers special services for all children in the bottom 3% for IQ scores. What is the highest IQ score a child can have and still receive special services? (Note: Use the closest value in your z table). Round your answer to 1 decimal place.d. Find the Inter Quartile Range (IQR) for...
Let X equal the weight of the soap contained in a box. Assume that the distribution of X is N(μ = 6.05, σ2 = 0.0004). (a) Compute the probability P(X < 6.0171) (b) A random sample of nine (9) boxes of soap is selected from the production line. Let Y equal the number of boxes that weigh less than 6.0171. What is the distribution of Y? (c) Find the probability that at most two (2) boxes weigh less than 6.0171. (d) Let X̅ be...
Given that the data below was randomly selected from a lognormal distribution. What is the probability of the average of 39 randomly selected items being greater than 22.1? The data below is the complete SAMPLED data set. WE TOOK A SAMPLE FROM THE TOTAL POPULATION. YOU DO NOT GET ANY MORE DATA POINTS. IF YOU DON'T KNOW HOW TO SOLVE THIS, MOVE ON. The question screen shot and answer is below. (Answer is 0.9755422) Please show how to arrive at...
Exercises 10.3. Let Xi . . . , x N μ, σ2), whereơ2 s known to be equal to 100. In testing Ho : 25vs. H :H>25,h What sample size n would be necessary if one wishes to reject Ho with probability at least 95 if μ 26? iid se that a coin is to be tossed n times, and you wish to test the hypothesis Ho:p-12 VS. Hi P> I/2 at a- .05. What sample size n would be...
Let n be an even positive integer. What is the probability that a randomly chosen n-bit string has the same number of zeros and ones? (Please show work)
Forty randomly selected students were asked the number of pairs of sneakers they owned. Let X = the number of pairs of sneakers owned. The results are as follows. X Frequency 1 2 2 4 3 7 4 13 5 13 6 1 1.) Find the sample standard deviation, s. (Round your answer to two decimal places.) 2.) What percent of the students owned at least five pairs? (Round your answer to one decimal place.) *Please show step by step*
Suppose IQ scores were obtained from randomly selected siblings. For 20 such pairs of people, the linear correlation coefficient is 0.916 and the equation of the regression line is ý = - 3.14 +1.02x, where x represents the IQ score of the younger child. Also, the 20 x values have a mean of 103.21 and the 20 y values have a mean of 102.1. What is the best predicted IQ of the older child, given that the younger child has...
Let X be the number of packages being mailed by a randomly selected customer at a certain shipping facility. Suppose the distribution of X is as follows. 1 0.3 2 0.4 3 0.1 4 0.2 p(x) (a) Consider a random sample of size n = 2 (two customers), and let X be the sample mean number of packages shipped. Obtain the probability distribution of X. 1 1.5 2 2.5 3 3.5 4 POCO (b) Refer to part (a) and calculate...