Question

On some busy streets, diamond lanes are reserved for taxis, buses, and cars with three or more passengers. It is estimated that 20% of cars travelling in a certain diamond lane have fewer than three passengers. Fifty cars are selected at random. Find the probability that at least 15 cars have fewer than three passengers.a. 0.0559b. 0.9441c. 0.9616d. 0.0382

Answer 1

SOLUTION:

Case: Probability

Given:

20% of cars travelling in a certain diamond lane have fewer than three passengers.

Fifty cars are selected at random.

If 20% have less than 3 passengers. p= 0.20

Then 80% have greater than or equal to 3 passengers, q= 0.80

Total sample,

n= 50

sample, x= 15.