Question

A game is played with a spinner on a circle, like the minute hand on a clock. The circle is marked evenly from 0 to 100, so, for example, the 3:00 position corresponds to 25, the 6:00 position to 50 and so on. The player spins the spinner, and the resulting number is the number of seconds he or she is given to solve a word puzzle. If 100 players are randomly selected, what is the approximate probability that the average time these players will get to solve the puzzle is between 44 and 56 seconds

Answer 1

P( 44 < X < 56 ) = 0.12

Explanation:

Number of seconds one gets to solve the puzzle ( X )

E( X ) = 100 + 0 ) / 2 = 50

Var ( X ) = 833.3333

бx = √833.3333 = 28.868

Determine The approximate probability

P( 44 < X < 56 ) = Δ time given / number of players selected

P( 44 < X < 56 ) = (56 - 44) / 100

= 12 / 100 = 0.12