Tdnl MIF Binomial Distribution

A fair coin is tossed six times.
What is the probability of obtaining 4 heads?

•  $\frac{15}{64}$  

•  $\frac{1}{32}$  

•  $\frac{5}{16}$  

•  $\frac{3}{5}$  

• 1

A fair coin is tossed 14 times.

What is the mean number of Heads?

• 6

• 7

• 8

• 9

• 10

A company makes electronic components for TV's.

90% pass final inspection (and 10% fail and need to be fixed).

150 components are inspected in one day.

What is the expected number that fail in one day?

• 10

• 90

• 15

• 135

• 73

A fair cubical die is thrown five times.

Calculate the probability of exactly three 4's.

• $\frac{7}{72}$

• $\approx0.1$

• $\frac{125}{3888}$

• $\approx0.2$

• $\frac{3}{5}$

The diagram shows a spinner made up of a piece of card in the shape of a regular pentagon, with a toothpick pushed through its center. The five triangles are numbered from 1 to 5.

Each time, the spinner is spun until it lands on one of the five edges of the pentagon. The spinner is spun five times.

Use the binomial probability formula to calculate the probability of at most two 4's. Round to 2 DP.

• $\approx0.90$

• $\approx0.94$

• $\approx0.25$

• $\approx.96$

• $\approx.76$

A fair coin is tossed five times.

Use the binomial probability formula to calculate the probability of at least four heads. Round to 1 DP.

• 0.1

• 0.2

• 0.3

• 0.4

• 0