(a)
To find:
The specified probability for the given scenario.
Answer to Problem 21E
Solution:
Value of the required probability is 1.
Explanation of Solution
Formula used:
For a binomial random variable
The formula to calculate
Here,
The formula to calculate
Calculation:
Consider the event “surviving of plant” as a success.
The probability of any plant surviving in Kerry’s garden is 0.8.
Probability of success is
Number of trial is 19.
Compute the probability for at least 5 successes.
Substitute 5 for
Substitute 19 for
Substitute 19 for
Substitute 19 for
Substitute 19 for
Substitute 19 for
Add all the values of
Substitute 0 for
Conclusion:
Thus, the probability of surviving at least 5 of them is 1.
(b)
To find:
The specified probability for the given scenario.
Answer to Problem 21E
Solution:
Value of the required probability is 0.6733.
Explanation of Solution
Formula used:
For a binomial random variable
The formula to calculate
Here,
The formula to calculate
Calculation:
Consider the event “surviving of plant” as a success.
The probability of any plant surviving in Kerry’s garden is 0.8.
Probability of success is
Number of trial is 19.
Required number of success is
Take
Compute the probability for more than 14 successes.
Substitute 14 for
Substitute 19 for
Substitute 19 for
Substitute 19 for
Substitute 19 for
Substitute 19 for
Add all the values of
Conclusion:
Thus, the probability of surviving more than
(c)
To find:
The specified probability for the given scenario.
Answer to Problem 21E
Solution:
Value of the required probability is 0
Explanation of Solution
Formula used:
For a binomial random variable
The formula to calculate
Calculation:
Consider the event “surviving of plant” as a success.
The probability of any plant surviving in Kerry’s garden is 0.8.
Probability of success is
Number of trial is 19.
Compute the probability for no successes.
Substitute 19 for
Conclusion:
Thus, the probability that no plant survive is 0.
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Chapter 5 Solutions
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