Question

6. In a recent student survey, students are asked which award they would prefer to win: an Academy Award a Nobel Prize, or an Olympic gold medal. The results are in the contingency table below. Answer the follow up questions. You must show your fractions and decimal answers rounded to 3 decimal places, or no credit. Academy Nobel Olympic Total Female 20 76 73 169 Male 11 73 109 193 Total 31 149 182 362

          6. In a recent student survey, students are asked which award they would prefer to win: an Academy Award
a Nobel Prize, or an Olympic gold medal. The results are in the contingency table below. Answer the
follow up questions. You must show your fractions and decimal answers rounded to 3 decimal places, or
no credit.
Academy
Nobel
Olympic
Total
Female
20
76
73
169
Male
11
73
109
193
Total
31
149
182
362

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$6. In a recent student survey, students are asked which award they would prefer to win: an Academy Award a Nobel Prize, or an Olympic gold medal. The results are in the contingency table below. Answer the follow up questions. You must show your fractions and decimal answers rounded to 3 decimal places, or no credit. Academy Nobel Olympic Total Female 20 76 73 169 Male 11 73 109 193 Total 31 149 182 362$

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Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Sri K

03/14/2023

Step 1

Probability of selecting a student who prefers an Academy Award = (Number of students who prefer an Academy Award) / (Total number of students) = 31 / 362 ≈ 0.086 Show more…

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In a recent student survey, students are asked which award they would prefer to win: an Academy Award a Nobel Prize, or an Olympic gold medal. The results are in the contingency table below. Answer the follow up questions. You must show your fractions and decimal answers rounded to 3 decimal places, or no credit. able[[,Academy,Nobel,Olympic,Total],[Female,20,76,73,169],[Male,11,73,109,193],[Total,31,149,182,362]] Q. If 10 students are randomly selected from this study (with replacement), what is the probability that at least one of them prefers an Academy Award? In a recent student survey, students are asked which award they would prefer to win: an Academy Award a Nobel Prize,or an Olympic gold medal.The results are in the contingency table below.Answer the follow up questions. You must show your fractions and decimal answers rounded to 3 decimal places, or no credit. Academy 20 11 31 Nobel 76 73 149 Olympic 73 109 182 Total 169 193 362 Female Male Total

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00:01 In this question we have been given the following data where we have genders horizontally, female, male and total and the preferred awards, academy award, nobel prize and olympic gold medal.

00:15 So first let us calculate the total of female is 169 and the total number of male are 193.

00:23 Now the total academy prizes are 31, nobel awards are 149 and olympic gold medal is 182 which adds up to a total of 362 so 362 is nothing but the grand total here 362 is a grand total now we can calculate the probability of female is equal to 169 divided by the grand hotel that is 362 so this adds up to a probability of p of f is equal to 0 .4669 so probability of female is equal to 0 .4669 so probability of female is equal to 0 .4669.

01:03 Next we have the probability of nobel price is equal to nobel price is equal to 149 divided by grand total 362.

01:14 So this is equal to 0 .4116.

01:20 This is the required probability for a nobel price and next we have the probability that the female won the nobel prize which is denoted by female and nobel prize and this is equal to from the table we can see the female and the nobel prize is 76 therefore 76 divided by 362 so this value is equal to 0 .2099.

01:49 Now similarly next we can calculate the probability that the nobel prize is 1 such that it is won by a female so this is calculated as probability of the nobel probable price and female which is calculated in the previous part and female divided by probability of female.

02:13 This is the conditional probability that we used here.

02:16 So this is equal to 76 by 362 divided by 169 by 362...

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