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Is it true that there are 210 possible samples when sample of 4 cards are drawn at random from a population of 10 cards numbered from 1 to 10

3.)If the weights of 500 students are normally distributed with a mean of 40

kgs and a variance Of 16 kgs2,

a. determine the percentage of students with weights lower than 50 kgs.

b. How many students have weights exceeding 55 kgs.?


The standard deviation of the number of minutes of calls of a certain subscriber is 40 min per day. A sample of 10 days gave a variance of 38 min. Test the hypothesis with α = 0.05 that the standard deviation of the call usage is not equal to 40.


What is the 97.5th Percentile in a t distribution with a sample size of 15?

What is the 5th percentile in a t distribution with 10 degrees of freedom

A multiple choice quiz has five questions, each with four answers, a through d. If you just guess on all of the questions, what is the probability that you get exactly four right?


If a cup of ice cream is selected,what is the probability that the cholesterol content will be more than 670 mg?


A populations consists of the following five values: 2, 3, 5, 7, 10.

List all possible sample of size 3.


The average weight of 25 chocolates bars selected from a normally distributed population is 200 g with a standard deviation of 10 g. Fight the point and the interval estimates using 95% confidence level


A simple binary communication channel carries messages by using only two


the time a1 is transmitted;the probability that a transmitted 0 is correctly


received is 0.90,and the probability that a transmitted 1 is incorrectly received


is 0.95. Determine (a) the probability of a1 being received, and (b) given a1


signals, say 0 and 1.We assumenthat, for a given binary channel, 40% of


is received, the probability that 1 was transmitted.


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