Kaya is planning a 4-day vacation at the beach. The forecast has a 25% chance of rain for each of those three days. What is the probability that it will rain just one of the four days? Show calculations and explain reasoning!
Answers
Given : Kaya is planning a 4-day vacation at the beach.
The forecast has a 25% chance of rain for each of those 4 days.
To Find : the probability that it will rain just one of the four days
Solution:
The forecast has a 25% chance of rain for each of those 4 days.
=> p = 0.25 chances of rain
q = 1 - p = 1 - 0.25 = 0.75 no chances of rain
n = 4
x = 1 it will rain on one day
p(x) = ⁿCₓpˣqⁿ⁻ˣ
=> p(1) = ⁴C₁(0.25)¹(0.75)³
= 4 * (1/4) (3/4)³
= 27/64
= 0.421875
the probability that it will rain just one of the four days = 0.421875
Learn More:
X is a binomial variable such that 2 P(X = 2) = P(X = 3) and mean
brainly.in/question/17528101
the probability that man is 45 years will die within a year is 0.012 ...
brainly.in/question/19206650
Answer:
Solution is in attachment hope it will be helpful
