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X is a normally distributed random variable with a mean of 60 and standard
deviation of 8. Find the probabilities indicated by using the table.
(a) P(X < 52)
(b) P(48 < X < 64)
(c) P(X > 57)
Consider the set of even single-digit number {0, 2, 4, 6, 8}.
· Make a list of all possible sample size of 2 that can be taken from this sets of numbers (with replacement)
· Construct the sampling distribution of the sample means for the size of 3 and the standard error.
Find out median for the following data
x: 10,15,18,23,27,30,31 f
20,30,40,50,60,70
Consider the population consisting of values
3, 5, and 7.
a. List all the possible samples of size 2 that can be drawn from the population with replacement in the table below.
b. Find the mean of the sampling distribution of means.
c. Find the variance of the sampling distribution of the means
d. Find the standard deviation of the means
Consider the population consisting of values
3, 5, and 7.
List all the possible samples of size 2 that
can be drawn from the population with
replacement in the table below.
b. Find the mean of the sampling distribution
of means.
c. Find the variance of the sampling
distribution of the means
d. Find the standard deviation of the means
2. The weights of female SHS students are normally distributed with a mean of 45kg. Twenty samples consisting of 10 students are drawn from the population and found to have a mean of 46 kg and a standard deviation of 1.24kg
'Bhartdarshan' is an Internet-based travel agency wherein customers can see videos of the cities they plan to visit. The number of hits daily is a normally distributed random variable with a mean of 10,000 and a standard deviation of 2,400.
a. What is the probability of getting more than 12,000 hits ?
b. What is the probability of getting fewer than 9,000 hits ?
A population consists of the four numbers 3,7,11,15.Consider all possible samples of size two which can be drawn with replacement from this population
A. A life insurance company will sell a Php250,000 one-year term life insurance policy for members of armed forces of the Philippines for a premium of Php500.00. Let X denote the gain from the insurance company. Based on the collected data of the company, a member of the armed forces police has a 99.96% chance of surviving within one year. Let X the net gain of an insurance company from a single policy holder.
1. Complete the table below showing the probability distribution of X.
X 500 -249,500
P(x)
2. Find the expectation If you play a bet and Interpret the result.
E(X)=
3. Interpretation:
a manufactrer produces lightbulbs that are packed into boxes of 100. if quality control studies indicate that 0.5% of lightbulbs produce are defective, what percentage of the boxes will contain if 2 or more defectives?
