Question

According to a​ survey, 53​% of the residents of a city oppose a downtown casino. Of...

According to a​ survey, 53​% of the residents of a city oppose a downtown casino. Of these    53​% about 7 out of 10 strongly oppose the casino. Complete parts​ (a) through​ (c). ​(a) Find the probability that a randomly selected resident opposes the casino and strongly opposes the casino. ​(b) Find the probability that a randomly selected resident who opposes the casino does not strongly oppose the casino. ​(c) Would it be unusual for a randomly selected resident to oppose the casino and strongly oppose the​ casino? Explain. ​(a) The probability that a randomly selected resident opposes the casino and strongly opposes the casino is nothing. ​(Round to three decimal places as​ needed.)

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

We are given here: P( oppose casino ) = 0.53
P( strongly oppose | oppose ) = 0.7

a) P( strongly oppose ) = P( strongly oppose | oppose )P(oppose ) = 0.7*0.53 = 0.371

Therefore 0.371 is the required probability here.

b) P(does not strongly oppose | oppose ) = 1 - P( strongly oppose | oppose ) = 1 - 0.7 = 0.3

Therefore 0.3 is the required probability here.

c) No it wont be unusual for a randomly selected resident to oppose the casino and strongly oppose the​ casino because the probability of this is 0.371 > 0.05

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
According to a​ survey, 51​% of the residents of a city oppose a downtown casino. Of these...
According to a​ survey, 51​% of the residents of a city oppose a downtown casino. Of these 51​% about 8 out of 10 strongly oppose the casino. Complete parts​ (a) through​ (c). ​(a) Find the probability that a randomly selected resident opposes the casino and strongly opposes the casino. ​(b) Find the probability that a randomly selected resident who opposes the casino does not strongly oppose the casino. ​(c) Would it be unusual for a randomly selected resident to oppose the casino and...
According to a​ survey, the probability that a randomly selected worker primarily drives a motorcycle to...
According to a​ survey, the probability that a randomly selected worker primarily drives a motorcycle to work is 0.841 The probability that a randomly selected worker primarily takes public transportation to work is 0.052 Complete parts​ (a) through​ (d). ​(a) What is the probability that a randomly selected worker primarily drives a motorcycle or takes public transportation to​ work? ​P(worker drives a motorcycle or takes public transportation to ​work)equals=nothing ​(Type an integer or decimal rounded to three decimal places as​...
As reported by a recent​ survey, the​ fast-food restaurant with the best​ drive-through time had a...
As reported by a recent​ survey, the​ fast-food restaurant with the best​ drive-through time had a mean time spent in the​ drive-through of mu equals 63.6 seconds. Assuming​ drive-through times are normally distributed with sigma equals 2.9 ​seconds, complete parts ​(a) through ​(d) below. ​(a) What is the probability that a randomly selected car will get through the​ drive-through in less than 60.3 ​seconds? The probability is nothing. ​(Round to four decimal places as​ needed.) ​(b) What is the probability...
In a survey of a group of? men, the heights in the? 20-29 age group were...
In a survey of a group of? men, the heights in the? 20-29 age group were normally? distributed, with a mean of 67.7 inches and a standard deviation of 2.0 inches. A study participant is randomly selected. Complete parts? (a) through? (d) below. ?(a) Find the probability that a study participant has a height that is less than 68 inches. The probability that the study participant selected at random is less than 68 inches tall is nothing. ?(Round to four...
A city currently dose not have a National Football League. 65% of all the city residents...
A city currently dose not have a National Football League. 65% of all the city residents are in favor of attracting NFL tea,. A. a random sample of 900 of the city residents is selected, and asked if they would want an NFL team. Describe the sampling distribution of p, the proportion of the residents who wan NFL team. B. in the sample obtained in part a, what is the probability in the proportion of residents who wan NFL team...
​ In a survey of a group of​ men, the heights in the​ 20-29 age group...
​ In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with a mean of 68.9 inches and a standard deviation of 3.0 inches. A study participant is randomly selected. Complete parts​ (a) through​ (d) below.​(a) Find the probability that a study participant has a height that is less than 66 inches.The probability that the study participant selected at random is less than 66 inches tall is nothing . ​(Round to four...
As reported by a recent​ survey, the​ fast-food restaurant with the best​ drive-through time had a...
As reported by a recent​ survey, the​ fast-food restaurant with the best​ drive-through time had a mean time spent in the​drive-through of mu equals 63.6μ=63.6 seconds. Assuming​ drive-through times are normally distributed with sigma equals 2.9σ=2.9 ​seconds, complete parts ​(a) through ​(d) below. ​(a) What is the probability that a randomly selected car will get through the​ drive-through in less than 60.360.3 ​seconds?The probability is nothing. ​(Round to four decimal places as​ needed.)​(b) What is the probability that a randomly...
According to a survey of 25,000 ​households, 59 % of the people watching a special event...
According to a survey of 25,000 ​households, 59 % of the people watching a special event on TV enjoyed the commercials more than the event itself. Complete parts a through e below based on a random sample of nine people who watched the special event. a. What is the probability that exactly three people enjoyed the commercials more than the​ event? The probability is nothing. ​(Round to four decimal places as​ needed.) b. What is the probability that less than...
According to a survey, 453 out of 1300 randomly selected residents of the town of Pawnee...
According to a survey, 453 out of 1300 randomly selected residents of the town of Pawnee supports the construction of a new park . Base on these data, test the claim that the percentage of residents who support the new park is less than 40%, using  α=0.05. Group of answer choices p-value=7.445, evidence not support claim p-value=0.000, evidence support claim p-value=0.348, evidence not support claim p-value=7.445, evidence support claim p-value=0.348, evidence support claim
According to a recent? survey, the average daily rate for a luxury hotel is ?$235.44. Assume...
According to a recent? survey, the average daily rate for a luxury hotel is ?$235.44. Assume the daily rate follows a normal probability distribution with a standard deviation of ?$22.11. Complete parts a through d below. a. What is the probability that a randomly selected luxury? hotel's daily rate will be less than $ 255? ?(Round to four decimal places as? needed.) b. What is the probability that a randomly selected luxury? hotel's daily rate will be more than $...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT