Answer :
Answer:
The probability that exactly 4 of them favour the new building project is 0.0768
what is Probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Step-by-step explanation:
We would assume a binomial distribution for the number of people that are in favour of a new building project. The formula is expressed as
P(x = r) = nCr × p^r × q^(n - r)
Where
x represents the number of successes.
p represents the probability of success.
q = (1 - r) represents the probability of failure.
n represents the number of trials or samples.
From the information given,
p = 40% = 40/100 = 0.4
q = 1 - p = 1 - 0.4
q = 0.6
n = 5
x = r = 4
Therefore,
P(x = 4) = 5C4 × 0.4^4 × 0.6^(5 - 4)
P(x = 4) = 5 × 0.0256 × 0.6
P(x = 4) = 0.0768
Hence, The probability that exactly 4 of them favour the new building project is 0.0768.
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