Question

The probability that missile will strike the target is 1/5 . If six such missiles are fired, then the probability that exactly two missiles will strike the target is
​

Answer 1

Answer:

175/256

Step-by-step explanation:

Required probability =1 − probability that target won

′

t be hit

∴ probability =1− (

4

3

)

4

=1−

256

81

=

256

175

Answer 2

Concept:

In a binomial probability distribution, the number of "Successes" in a series of n experiments is represented as either success/yes/true/one (probability p) or failure/no/false/zero (probability q = 1 p), depending on the outcome's boolean value. A Bernoulli trial or experiment is another name for a single success or failure test, while a Bernoulli process is another name for a sequence of results. The binomial distribution is a Bernoulli distribution for n = 1, or one experiment. The renowned binomial test of statistical significance is built on the binomial distribution.

Given:

The probability that missile will strike the target is 1/5 . If six such missiles are fired,

Find:

Probability of exactly two missiles will strike the target

Solution:

P( missile will hit)= 1/5

P( missile will not hit)= 4/5

Using binomial distribution,

P(exactly two missiles will strike the target)=⁶C₂(1/5)²(4/5)⁴

                                                                       =0.245

Therefore, probability of exactly two missiles will strike the target is 0.245

#SPJ2