Binomial Distribution Quiz

Choose the correct sign

'probability more than 7'

• P(X>7)

• P(X<7)

• P(X≥7)

• P(X≤7)

Choose the correct sign

'probability less than 7'

• P(X>7)

• P(X<7)

• P(X≥7)

• P(X≤7)

Choose the correct sign

'probability at least than 7'

• P(X>7)

• P(X<7)

• P(X≥7)

• P(X≤7)

Choose the correct sign

'probability at most than 7'

• P(X>7)

• P(X<7)

• P(X≥7)

• P(X≤7)

Marta makes 90% of the free throws she attempts. She is going to shoot 3 free throws. Assume that the result of free throws are independent from each other. Let X represent the number of free throws she makes.

Find the probability that Marta makes at least 2 of the three free throws.

Write your answer in 3 significant figures.

On a certain road 20% of the vehicles are trucks, 16% are buses and the remainder are cars. A random sample of 11 vehicles is taken. Find the probability that at least 3 are buses.

• 0.747

• 0.252

• 0.749

• 0.748

X is the number of heads when a fair coin is flipped 12 times. Find the probability of getting no more than 6 heads. P(X ≤ 6)

• 0.23

• 0.61

• 0.39

• 0.5

A test has 8 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 8 questions, what is the probability that you get at least 3 questions correct?

• 0.886

• 0.321

• 0.678

• 0.208

8. An algebra 2 test has 5 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 5 questions, what is the probability that you get at least 1 question correct?

• 0.2373
• 0.3955
• 0.7627
• 0.6045

In one report, 54% of Malaysians buy locally made cars. If 8 peoples who just bought new cars are selected at random, find the probability that

(a) at least 2 of them bought locally made cars,

(b) more than 6 of them bought locally made cars.

• (a) 0.9792; (b) 0.05650

• (a) 0.8192; (b) 0.15650

• (a) 0.8792; (b) 0.25650

• (a) 0.9192; (b) 0.15650