We can work on Statistical Analysis

  1. In families with four children, you’re interested in the probabilities for the different possible numbers of girls in a family. Using theoretical probability (assume girls and boys are equally likely), compile a five-column table with the headings “0” through “4,” for the five possible numbers of girl children in a four-child family. Then, using “G” for girls and “B” for boys, list under each heading the various birth-order ways of achieving that number of girls in a family.

Then, use your table to calculate the following probabilities:

a. The probability of 1 girl
b. The probability of 2 girls
c. The probability of 4 girls
d. The probability the third child born is a girl

  1. As pictured in Figure 6.11 of your textbook, a roulette wheel has 38 numbers: 18 odd black numbers from 1 to 35, 18 even red numbers from 2 to 36, and the two green numbers 0 and 00. Using theoretical probability, calculate the following:

a. The probability of spinning a green number
b. The probability of spinning a number greater than 30
c. The probability of spinning a red number less than 10
d. The probability of spinning an even black number
e. The expected total of green numbers in 57,000 spins

  1. In a nationwide polls of 1,500 randomly selected U.S. residents, 77% said that they liked pizza. In a poll of 1,500 randomly selected U.S. residents one month later, 75% responded that they liked pizza.

a. Does the polling evidence support the claim that pizza declined in popularity over the month between polls? Explain why or why not.
b. Using statistical terminology, precisely identify the population parameter the two polls were attempting to measure. How does a parameter differ from a statistic?
c. Based on the two polls, what would you say to someone who guessed that the population parameter the polls are trying to measure is really only 50%?

  1. Eleven people have eleven different favorite numbers from 2 to 12. They all agree to participate in a 10,000-roll dice game where they bet $1 on their favorite number for each roll of two standard (fair) dice. A donor kicks in an extra dollar every round, so the payoff if your number comes up is $12.

a. Assuming everyone bets on all 10,000 rounds, what is the expected value for a person who has number 7? (Show your calculations.)
b. Assuming everyone bets on all 10,000 rounds, what is the expected value for a person who has number 2? (Show your calculations.)

Sample Solution

This Mosque is the biggest in South Florida being 2500 square feet. The floor has a huge green rug with multi-yellow lines called the saf that covers the floor of the Mosque. The people do supplicate at a similar spot; yet the spot is isolated with a texture drapery. This is notwithstanding the way that people have separate passage entryways and their better places of wudhu or ablutions. There is a house for the guardians of the Mosque just adjacent to the Mosque just as an office for the Mosque chiefs. There is a huge parking area for the dependable of this Mosque and a b-ball court where the reliable play b-ball when they feel like. Much the same as the various Muslims over the world, Muslims in this Mosque wear long robes and men spread their heads with taxis and ladies with Hijabs. It is difficult to perceive any piece of their bodies separated from the face and palms for ladies and the head and palms for men. Nonetheless, they affirmed that when they are out of the Mosque, men may wear any kind of dress that s held as respectable by their religion. Be that as it may, the ladies need to wear the Hijab whether they are revering or they are at home or work place. In this manner, it is exceptionally simple to recognize the unwavering of this Mosque. At this Mosque, they have various administrations directed at various occasions and days of the week. For example on Sunday, the youngsters are instructed Qur’an exercises where they should present the Qur’an refrains to assist them with living by them. There are five supplications that are done every day and a day by day address offered after ashar. At that point, the Qur’an, Arabic and other Islamic exercises are educated. Now and again, there are get-togethers where social and family matters are additionally talked about through a progression of inquiries and answers to permit them live properly. Also, there are a few social occasions that are planned so the loyal can recount the Holy Qur’an.>

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