Question

27% of consumer prefer to buy grocery Online. Purchasing grocery online follows a binomial distribution pattern....

27% of consumer prefer to buy grocery Online. Purchasing grocery online follows a binomial distribution pattern. You randomly select 10 consumers. Find the probability that the number of customers who prefer to shop Online for grocery is

  1. Exactly 4
  2. At least 2
  3. Between 1 and 4 inclusive

Homework Answers

Answer #1

Hello

In the given binomial distribution:

p 27.00%
n 10

hence, using

We can get the following probability distribution:

x P(x)
0 0.0430
1 0.1590
2 0.2646
3 0.2609
4 0.1689
5 0.0750
6 0.0231
7 0.0049
8 0.0007
9 0.0001
10 0.0000

Hence, using the calculated probability distribution table:

(a)

P(Exactly 4) = 0.1689

(b)

P(Atleast 2) = 0.7981

(c)

P(Between 1 and 4 inclusive) = 0.8533

Thanks!

Please drop an upvote if you find this helpful.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
27% of consumer prefer to buy grocery Online. Purchasing grocery online follows a binomial distribution pattern....
27% of consumer prefer to buy grocery Online. Purchasing grocery online follows a binomial distribution pattern. You randomly select 10 consumers. Find the probability that the number of customers who prefer to shop Online for grocery is Exactly 4 At least 2 Between 1 and 4 inclusive
Forty percent of consumers prefer to purchase electronics online. You randomly select 5 consumers. (a) Construct...
Forty percent of consumers prefer to purchase electronics online. You randomly select 5 consumers. (a) Construct a binomial probability distribution for the number of consumers who prefer to purchase electronics online. x: 0,1,2,3,4,5 P(x): -,-,-,-,-,- (b) Find the probablility that the number that prefers to purchase electronics online is exactly 2. P(2)= (c) Find the probability that the number that prefers to purchase electronics online is more than 2. P(x>2)=
sixty percent of consumers prefer to purchase electronics online. You randomly select 8 consumers. Find the...
sixty percent of consumers prefer to purchase electronics online. You randomly select 8 consumers. Find the probability that the number of consumers who prefer to purchase electronics online is​ (a) exactly​ five, (b) more than​ five, and​ (c) at most five.
Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then...
Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then determine if the events are unusual. If​ convenient, use the appropriate probability table or technology to find the probabilities. Sixty dash two percent of U.S. adults oppose hydraulic fracturing​ (fracking) as a means of increasing the production of natural gas and oil in the United States. You randomly select six U.S. adults. Find the probability that the number of U.S. adults who oppose fracking...
Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then...
Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then determine if the events are unusual. If​ convenient, use the appropriate probability table or technology to find the probabilities. Fifty-two percent of adults say that they have cheated on a test before. You randomly select seven adults. Find the probability that the number of adults who say that they have cheated on a test before is​ (a) exactly four​, ​(b) more than two​, and​...
A random variable follows a binomial distribution with a probability of success equal to 0.52. For...
A random variable follows a binomial distribution with a probability of success equal to 0.52. For a sample size of n=7, find the values below. a. the probability of exactly 3 successes b. the probability of 4 or more successes c. the probability of exactly 7 successes d. the expected value of the random variable
Decide whether you can use the normal distribution to approximate the binomial distribution. If you can,...
Decide whether you can use the normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use the binomial distribution to find the indicated probabilities. A survey of adults found that 56% of those who text on cell phones receive spam or unwanted messages. You randomly select 100 adults who text on cell phones. a-Find the probability that the number of...
A grocery store counts the number of customers who arrive during an hour. The average over...
A grocery store counts the number of customers who arrive during an hour. The average over a year is 20 customers per hour. Assume the arrival of customers follows a Poisson distribution. (It usually does.) Find the probability that at least one customer arrives in a particular one minute period. Round your answer to 3 decimals.     Find the probability that at least two customers arrive in a particular 4 minute period. Round your answer to four decimals.
27% of US adults say they are more likely to make purchases during a sales tax...
27% of US adults say they are more likely to make purchases during a sales tax holiday. You randomly select 10 adults. Find the probability that the number of adults who say they are more likely to make purchases during a sales tax holiday it is (a) exactly two (b) more than two, and (c) between two and five, inclusive.
Decide whether you can use the normal distribution to approximate the binomial distribution. If you​ can,...
Decide whether you can use the normal distribution to approximate the binomial distribution. If you​ can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you​ cannot, explain why and use the binomial distribution to find the indicated probabilities. A survey of adults found that 79​% of those who text on cell phones receive spam or unwanted messages. You randomly select 100 adults who text on cell phones. Complete parts​ (a) through​ (d). Determine whether...