Answer :
a)The probability of exactly 5 accidents will occur is 0.1008.
b) The probability of fewer than 3 accidents will occur is 0.42318.
Define probability.
It is predicated on the likelihood that something will occur. The justification for probability serves as the basic foundation for theoretical probability. For instance, the theoretical chance of receiving a head while tossing a coin is 12. Mathematics' study of random events is known as probability, and there are four primary types of probability: axiomatic, classical, empirical, and subjective. Since probability is the same as possibility, you could say that it is the likelihood that a specific event will occur.
Given,
Mean = 3
a) By using Poission probability formula,
P( X = 5) = e⁺³ (3)⁵/5!
P(X = 5) = 0.1008
The probability of exactly 5 accidents will occur is 0.1008.
b) fewer than 3 accidents will occur:
P( X <3) = e⁻³ (3)⁰ + e⁻³ (3)¹ + e⁻³(3)²
P( X< 3) = 0.4978 + 0.14936 + 0.22404
P( X < 3) = 0.42318
The probability of fewer than 3 accidents will occur is 0.42318.
To learn more about probability, visit:
https://brainly.com/question/11234923
#SPJ4
