Search & Filtering
For the Word Scramble Game in the Games Fair game, answer the following questions: a) Create the probability distribution in a table for all the outcomes where X is the random variable representing the number of points awarded. Communicate how you arrived at the probability of each outcome. b) Determine the expected value, E(X), for the game? Be sure to incorporate the 10 points it costs to play in your expected value.
A game called “It Pays to Wait” is played in which you roll a single die. If you roll a six on the first try you lose. If you roll a six on the second try you win $5 and the game is over. If you roll a six on the third try you win $10 and the game is over. If you roll a six on the fourth try you win $15 and the game is over. The maximum number of rolls a player can take is four. It costs $4.00 to play the game. Determine the expected profit for the operator of this game after 200 games have been played.
A finite population consists of 5 elements. 10, 12, 14, 16, 15. Consider the sample of size 3 that can be drawn from this population.
What is N?
What is the mean of the population?
What is the variance of the population?
What is the standard deviation of the population?
How many samples can be drawn in the population?
What is the mean of the sample?
What is the variance of the sample?
What is the standard deviation of the sample?
Problem: A populatio consists of the six numbers 4,9,11,7,8 and 3. Consider the sample of size 3 that can be drawn from this population?
What is N?
How many samples can be drawn in the population?
What is the probability of getting 8.67?
The probability of getting 6.33 is?
what is EP(x)?
Question 2:
If the following frequency distribution shows the average number of students per teacher in the 50 major cities of Pakistan
Class Limits
Frequency
9-11
3
12 – 14
5
15 – 17
12
18 – 20
18
21 – 23
8
24 – 26
4
Table 1
Determine
· Range
· Mean
· Median
· Mode
· Standard Deviation
· Relative Dispersion
· Variance
· Kurtosis
There are hundreds of apples on the trees, so you randomly choose just 83 apples and get a mean weight of 87.53 grams with a standard deviation of 6.7 grams. Assuming that the weight of the apples is normally distributed, what is the standard error of the 90% confidence interval for the mean weight of the apples.
The professional organization for private colleges and universities
professors reported that more than 17% of professors attended a
national convention in the past year. To test this claim, a researcher
surveyed 200 professors and found that 45 has attended a national
convention in the past year. At α = 0.05, test the claim that this figure
is correct using p -value method.
One of the undersecretary of the Department of Labor and
Employment (DOLE) claims that the average salary of civil engineer
is Php18,000. A sample of 19 civil engineer’s salary has a mean of
Php17,350 and a standard deviation of Php1,230. Is there enough
evidence to reject the undersecretary’s claim at α = 0.01?
Assume the random variable X can take values of -1, 0, 1, 2. The probabilities are 1/2c 3/4c 5/8c 2/16c. As a result, the constant c =
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)
