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distributed with a mean of 12 mm (millimetres) and a standard deviation of 4 mm. If a random
sample of size 16 white board markers is selected, what is
a) the distribution of the mean?
b) the probability that the sample mean is less than 15.6 mm?
c) the probability that the sample mean is between 12.8 mm and 13.2 mm?
form. The time it takes each patient to complete the form is approximately normally distributed,
with a mean of 12.4 minutes and a standard deviation of 2.1 minutes.
a) What proportion of patients completes the medical history form in 10 minutes or less?
b) What proportion of patients takes 20 minutes or more to complete the medical history form?
c) What is the 90th percentile of the time to complete the medical history form?
Earthquakes occur in the western United States with a rate of 2 per week. If we model the number of earthquakes as a Poisson random variable, what is the probability that there will be at least 3 earthquakes in a week period? [correct your answer to 4 d.p.]
Suppose there are 6 white and 5 black marbles in a bag and you want to select 2 marbles. What is the probability that you will select a white marble then a black marble? You will replace the white marble. [give your answer to 4 d.p.]
When electing an office bearer in a company the votes are normally distributed with mean μ and standard deviation σ. More than 85 people voting is 5%. Less than 27 people voting is 15%. Find the mean μ and standard deviation σ.
Listed below are the top 10 annual salaries (in millions of dollars) of TV personalities. Find the range, variance, and standard deviation for the sample data. Given that these are the top 10 salaries, do we know anything about the variation of salaries of TV personalities in general? 38 37 36 30 19 17 14 13 12.6 12.0
. If there are 5,400 students in University ABC, 1,425 in the College of Nursing, 865 in the College of Medicine, 1,250 in College of Management, and 1,860 in the College of Education how many will be the samples using the stratified sampling design?
Suppose you wanted to determine the perception of students in the University of Santo Tomas regarding the visit of Pope Francis in the Philippines last January 15-19, 2015. If UST has a population of 9, 250
students, using random sampling method, how many samples will be taken from this university using the formula set at .05 degree of error?
a family has four children . if x is a random variable that pertains to the number of female children, what are the possible values of x
#339914 on Dec 2023