Question

In: Statistics and Probability

A kindergarten class consists of 14 boys and 11 girls. If the teacher selects children a)...

A kindergarten class consists of 14 boys and 11 girls. If the teacher selects children

a) If the teacher selects a random sample of n=3 children, and the first two children are boys and leave the classroom as soon as selected, what is the probability that the third child selected will be a girl?

b)In the same situation, what is the probability that the third child is a boy?

Expert Solution

At First :

Total children = 14+11 = 25

Now, If the teacher selects a random sample of 3 children, and the first two children are boys and leave the classroom as soon as selected then we have :-

Total children left = 25 - 2 = 23

Number of boys left = 14 - 2 = 12

Number of girls left = 11

a)

Probability that the third child selected will be a girl = (Number of girls left Total children left) = (11 23) = 0.4783

Answer: Probability that the third child selected will be a girl is or 0.4783

b)

Probability that the third child is a boy = (Number of boys left Total children left) = (12 23) = 0.5217

Answer: Probability that the third child is a boy is or 0.5217

orchestra answered 1 year ago

a kindergarten class consists if 11 boys and 14 girls. How many ways can the following...

a kindergarten class consists if 11 boys and 14 girls. How many ways can the following be done? Write final answer in number form. (a) six students are to be selected for the Naptime Committe (b) In the above Naptime comitte, at least two boys and two girls must be on the committe (c) a gold start, a green start, a red star, and a blue star are each to ve awarded to one student. Assume no student receives more...

1. A class has 15 girls and 10 boys. The teacher wants to form an unordered...

1. A class has 15 girls and 10 boys. The teacher wants to form an unordered pair consisting of 1 girl and 1 boy. How many ways are there to form such a pair? 2. For the same setup (i.e. class of 15 girls and 10 boys), the teacher wants to form an unordered group of 3, consisting of 2 girls and 1 boy. How many ways are there to form such a group? 3. For the same setup (i.e....

Question 1 (a): A class consists of 100 students with boys and girls’ ratios as 4:6....

Question 1 (a): A class consists of 100 students with boys and girls’ ratios as 4:6. Find the average weight of the class if the average weight of boys and girls is 10 and 15 respectively. Also find the combined mean if the ratio of no of boys and girls is reversed. Question 1 (b): The rice production (in Kg) of 10 acres is given as: 1120, 1240, 1320, 1040, 1080, 1720, 1600, 1470, 1750, and 1885. Find the quartile...

In a sample of families with 6 children each, the distribution of boys and girls is...

In a sample of families with 6 children each, the distribution of boys and girls is as shown in the following table: Number offamilies 10 60 147 202 148 62 10 Number of girls 0 1 2 3 4 5 6 Number of boys 6 5 4 3 2 1 0 Part A) Calculate the chi-square value to test the hypothesis of a boy-to-girl ratio of 1:1. (Express your answer using three decimal places) Part B) Are the numbers of...

A couple wants to have 2 boys and 2 girls. They will continue to have children...

A couple wants to have 2 boys and 2 girls. They will continue to have children until they have reached the goal.  Assuming that the probability that they have 54% chance to have a boy and 46% chance to have a girl in every pregnancy. No twin or more are possible.  Assuming that their goal is possible and has been fulfilled today! Create at least four hypotheses based on the data file provided! 1) Use a different test for each...

Boys and Girls: Suppose a couple plans to have two children and the probability of having...

Boys and Girls: Suppose a couple plans to have two children and the probability of having a girl is 0.50. (a) What is the sample space for the gender outcomes? {bb, bg, gg} {b,g} {bb, bg, gb, gg} {bb, gg} (b) What is the probability that the couple has one boy and one girl? 1 3 1 4 1 2 3 4 (c) What is the probability that the couple will have at least one girl? 1 4 1...

Suppose that a class contains 15 boys and 30 girls, and that 10 students are to...

Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at random for a special assignment. Find the probability that exactly 3 boys will be selected. I need explanation and calculation, the calculation and explanation should equal atleast 300 words, nothing less and nothing irrelevant please, otherwise i will give thumbs down

11) According to an article in Newsweek, the natural ratio of girls to boys is 100:105....

11) According to an article in Newsweek, the natural ratio of girls to boys is 100:105. In China, the birth ratio is 100:114 (46.7% girls). Suppose you don't believe the reported figures of the percent of girls born in China. You conduct a study. In this study, you count the number of girls and boys born in 150 randomly chosen recent births. There are 61 girls and 89 boys born of the 150. Based on your study, do you believe...

In my grade 10 class there are there are 16 boys and 9 girls. I need...

In my grade 10 class there are there are 16 boys and 9 girls. I need to send 10 of them to a Guidance meeting. How many ways can... a) an equal number of each gender be chosen? b) Christopher be chosen? c) Christopher and Emma be chosen? d) at least one girl be chosen? e) Christopher and Emma cannot both go, at least 1 of them must stay in class! f) Send only girls? Clearly label each part and...

Calculate this In a class of 20 boys and 12 girls we randomly select two speakers....

Calculate this In a class of 20 boys and 12 girls we randomly select two speakers. What is the probability both speakers will be girls? And what is the probability the speakers will be of the same gender? Please, describe how you got the result