Six in 10 adults say lower back pain substantially limits their athletic activities. A random sample of n = 8 adults were asked if lower back pain was a limiting factor in their athletic activities. The printout below shows the cumulative and individual probabilities for a binomial random variable with n = 8 and p = .6.

a. Use the binomial formula to find the probability that all eight indicate that lower back pain was a limiting factor in their athletic activities.
b. Confirm the results of part a using the printout.
c. What is the probability that at most seven individuals give lower back pain as a limiting factor in their athletic activities?

Transcribed Image Text:

Cumulative Distribution Function Binomial with8 and p 0.6 x P( X <= x ) Probability Density Function Binomial with n8 and p0.6 0.00066 0.00852 0.04981 0.17367 0.40591 0.68461 0.89362 0.98320 1.00000 0.000655 0.007864 0.041288 0.123863 0.232243 0.278692 0.209019 0.089580 0.016796 1 1