# Can someone show the steps and explain c and d parts of the problem. I'm not...

###### Question: can someone show the steps and explain c and d parts of the problem. I'm not really sure what these formulas are or how they work pertaining to the question. please explain this like im 5 years old so confused!

5. Consider a roulette wheel in a certain casino. (Recall that a Nevada roulette wheel nas up .. There are 18 red spaces, 18 black, and 2 green. In each spin of the wheel, the ball is equally likely to land in any of the 38 spaces, and the spins are independent of each other.) We are doubtful that the roulette wheel is fair; that is, we think the claim that the spaces are all equally likely is not true. We will test this by seeing if the ball lands in a space twice, too soon any of the 38 spaces). To perform the test, we will spin the wheel over and over until the ball lands in a space for the second time. We will reject the casino's claim that the wheel is fair, if this event takes three or fewer spins. (a) What is our null hypothesis? (1 point) Ho: Wheel s fawr (b) Under the null hypothesis, would the distribution of the number of spins until the ball lands in any of the spaces twice be negative binomial? Explain. (1 point) No. If we were specifyng one particular pocket, then yes, but we are not (c) What is the significance level of this test? spuns gwei Ho of lavere la long ini aspace twice in 3 or fewer (a points) = P(X=2) + P (X=3) where X= 7 spins until 2 ball lands and hire in = (58)*+2x445) x 37 x38 a space : A Sunce could be any of 0.0776 W 7.76% . 10638 spaces. (d) What is the power of this test against the alternative hypothesis that the probability that the ball lands in one particular space is 7.5% and the probability that it lands in any of the other 37 spaces is 2.5%? (4 points) Power =P(X=2 or 3 I one space chance = 0.075 & rest are o 025) - [20.075)*+ 2% (0.0753x0,928)] + 37x60.025€ + 2X(0.025 (0.975)] = 0.08425 = 18-4257

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