Back Pain Six in 10 adults say lower back

Chapter 5, Problem 31

(choose chapter or problem)

Back Pain Six in 10 adults say lower back painsubstantially limits their athletic activities.3 A randomsample of n 8 adults were asked if lower back painwas a limiting factor in their athletic activities. Theprintout below shows the cumulative and individualprobabilities for a binomial random variable withn 8 and p .6.MINITAB Output for Exercise 5.31Cumulative Distribution Probability DensityFunction FunctionBinomial with n = 8 Binomial with n = 8and p = 0.6 and p = 0.6x P( X <= x ) x P( X = x )0 0.00066 0 0.0006551 0.00852 1 0.0078642 0.04981 2 0.0412883 0.17367 3 0.1238634 0.40591 4 0.2322435 0.68461 5 0.2786926 0.89362 6 0.2090197 0.98320 7 0.0895808 1.00000 8 0.016796a. Use the binomial formula to find the probabilitythat all eight indicate that lower back pain was alimiting factor in their athletic activities.b. Confirm the results of part a using the printout.c. What is the probability that at most seven individualsgive lower back pain as a limiting factor in theirathletic activities?