Given info:

A nursery provides red impatiens for commercial landscaping. If 5% are variegated instead of red. A sample of 200 plants was taken.

defazajx
2021-09-28
Answered

To find: The probability of getting exactly 14 variegated plants.

Given info:

A nursery provides red impatiens for commercial landscaping. If 5% are variegated instead of red. A sample of 200 plants was taken.

Given info:

A nursery provides red impatiens for commercial landscaping. If 5% are variegated instead of red. A sample of 200 plants was taken.

You can still ask an expert for help

Velsenw

Answered 2021-09-29
Author has **91** answers

Calculation:

Define the random variable x as the number of variegated plants. Here, the total numbers of plants (n) are 200 and each plant is independent of another plant.Also, there are two possible outcomes (it is a variegated plant or not a variegated plant) and the probability of that the selected plant which turns out to be a variegated plant gives the probability of success as (p) 0.05. Thus, x follows binomial distribution.

The binomial distribution formula is,

Where, n is the number of trials, x is the number of successes among n trials, p is the probability of success and q is the probability of failure.

Substitute

Software procedure:

Software procedure for calculating the binomial probability is given below:

- Choose Calc>Probability Distributions>Binomial Distribution.

- Choose Cumulative Probability.

- Enter Number of trials as 200 and Event probability as 0.05.

- In Input constants, enter 14.

- Click OK.

Output obtained from MINITAB is given below:

Probability Density Function

Binomial with

Thus, the probability of getting exactly 14 variegated plants is 0.052.

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