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x= 0, 1, 2, 3, 4, 5
p(x)= 0.1,0.3,0.4,0.1,?,0.5
find p(4)
construct probability histogram to describe p(x)
P(−1.2≤z≤1.2)
a printer manufacturing company claims that its new ink-efficient printer can print an average of 1600 pages of word documents with standard deviation of 62. thirty-five of those printers showed a mean of 1585 pages. does this support the company’s claim? use 95% confidence level.
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)
𝜇 = 4; 𝜎 = 2
P(3 ≤ x ≤ 6) =
For each day, independent of the others, the length of time for one individual to be served at
a cafeteria is a random variable having an exponential distribution with a mean of 4 minutes. What is the
probability that a person is served in less than 3 minutes on at least 4 of the next 6 days?
There are fifteen students writing a Statistics exam. What is the probability of correctly
predicting the three students who obtain the highest marks in the exam, in the correct
order, assuming that no student obtains the same mark as any other student?
Suppose a population consists of the number 97,89,98,93,95,97,97,90,60,94 construct a sampling distribution of all possible samples of size 3 from the population.
The Mathematics Club of the Ohio Science High School has six members. How many ways can this club select a president and secretary assuming that all members are eligible but no one can hold both positions?
Express the null hypothesis and alternative hypothesis in notation form of the scenario “It is
believed that the mean yearly salary of professors in the Philippines is Php480,000.00. A
random sample of 65 professors revealed a mean salary of Php500,000.00 Can it be
concluded that the mean salary is greater than Php480,000.00?
A sample size n = 22 is a simple random sample selected from a normally distributed
population. Find the t such that the shaded area to the left of t is 0.05.
#340153 on Dec 2023