4.21 The random variable x has the following discrete probability distribution: 10 11 12 13 14 P(x) 2 2 Since the values that x can assume are mutually exclusive events, the event {xs 12} is the union of three mutually exclusive events: {x = 10} U {x = 11}U {x = 12} a. Find P(x s 12) h. Find P(x > 12). End P .< 14Y 어
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- Consider a normally distributed random variable X with amean u = 30 and a standard deviation ? = 2. Find thefollowing probabilities: a.) P(x ≤ 35)= b.) P(x ≥31)=An independent-measures research study uses two samples, each with n = 15 participants. If the data produce a t statistic of t = 2.760, which of the following is the correct decision for a two-tailed hypothesis test? a. Reject the null hypothesis with α = .05 but fail to reject with α = .01 b. Reject the null hypothesis with either α = .05 or α = .01 c. Fail to reject the null hypothesis with either α = .05 or α = .01 d. Cannot answer without additional information