assume that x the starting salary offer pracom/at/serviet/quiz?quiz actionstakeC
ID: 3493761 • Letter: A
Question
assume that x the starting salary offer pracom/at/serviet/quiz?quiz actionstakeC uz&quiz; probGuid-ONAPC0A801010000003b4b04d00b0000&cb; =rnisano 00012 9. Probability computations using the standard normal distribution AaAa Assume that X, the starting salary offer for education majors, is normally distributed with a mean of $46,292 and a standard deviation of $4,320 Use the following Distributions tool to help you answer the questions. (Note: To begin, click on the lower left hand corner of the tool that displays the distribution and a single orange line.) button in the Standard Normal Distribution Mean 0.0 Standard Deviation 1.0 The probability that a randomly selected education major received a starting salary offer less than $45,000 is 1:4 ere to searchExplanation / Answer
Given Inputs
Mean = 46,292
SD = 4320
Probability of a randomly selected major starting salary can be calculated using R stats by giving the inputs as given above and our requirements
Below is the command for R stats to calculate the probability
pnorm(45000, mean = 46292, sd = 4320, lower.tail = TRUE, log.p = FALSE)
[1] 0.3824418
(Note – different stats softwares may have different commands for calculating the same. )
As shown above the probability of a randomly picked major of getting a starting salary of $45000 or below would be -
0.3824418 (meaning approximately 38% of fresher from a random sample would get a salary below 45000.
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