Suppose that the height of a typical female in a community is normally distributed with mean 64 inches and standard deviation of 4 inches. We observe the height of 500 randomly chosen females. Answer the following with appropriate justification. a. What is the probability that fewer than 35 of the 500 women will be less than 58 inches tall? b. Let X be the number among the 500 women who are less than 58 inches tall. Find the mean and standard deviation

Phoenix guitars is interested in pursuing backward integration to take greater ownership of the extraction of raw materials and production of components used in its signature line of guitars. although this approach would lower the overall cost of producing a guitar, the costs associated with producing electronic pickupsfor sound amplification are far greater than those associated with sourcing pickups from a reliable supplier. which of the following approaches is likely to produce superior results? a) invest in vertical integration despite the cost of producing pickups. b) abandon the idea of vertical integration entirely. c) pursue taper integration. d) introduce a budget line of guitars to diversify the firm's offerings.