Question4 19.12 Tonya\'s free throws. Tonya makes 40% of her free throws in a lo

Question

Question4 19.12 Tonya's free throws. Tonya makes 40% of her free throws in a long season. In a tournament game she shoots 5 shots late in the game and misses all of them. The fans think she was nervous, but the misses may simply be chance. Let's shed some light by estimating a probability. (a) Describe how to simulate a single shot if the probability of making each shot is 0.4. Then describe how to simulate 5 independent shots (b) Simulate 50 repetitions of the 5 shots and record the number missed on each repetition. Use Table A, starting at line 125. What is the approximate probability that Tonya will miss all of the 5 shots?

Explanation / Answer

Pr(Free throws) = 0.40

(a) Here to simulate a single shot we can give it the probability of success "1" , 0.4 and probability of failure :0" , 0.6.

For 5 independent shots, we can assign the single probability five times, as events are independent here.

Here as we dont have table A, so i will use excel random number generation.

So here out of 125 iterations we will see how many times we had get 0 in all rows of ay given column,

Total 0's in al rows = 11

Pr(Tonya will miss all 5 shots) = 11/125 = 0.088

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