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Assume the random variable X is normally distributed with mean u = 50 and standard deviation o = 7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(X > 39) E Click the icon to view a table of areas under the normal curve. Which of the following normal curves corresponds to P(X > 39)? O A. O B. O c. Q Q Q 39 50 39 50 39 50 P(X > 39) = (Round to four decimal places as needed.) Next 6:22 ~ENG 4X D 9/26/2 PrtSen Home End PgUp F10The relative frequency histogram represents the length of phone calls on George's cell phone during the month of September. Determine whether or not the histogram indicates that a normal distribution could be used as a model for the variable. 10.4. Relative Frequency 0.2 12 Length (minutes) Can a normal distribution be used as a model for the variable? O A. Yes, because the histogram has the shape of a normal curve. O B. No, because the histogram does not have the shape of a normal curve. O C. Yes, because the histogram does not have the shape of a normal curve. O D. No, because the histogram is symmetric about its mean. O E. No, because the histogram has the shape of a normal curve. Nex 6:2 1 X 0 W ~ KO ENG 9/26/ End PgUp PrtScn Home F11 F9 F10 F7 F8(s) possible This question: 1 point(s) possible Submit test The graph of the discrete probability to the right represents the number of live births by a mother 43 to 48 years old who had a live birth in 2015. Complete parts (a) through (d) 0.30- below. 0.25- 0.239 0.255 0.20- 0.174 0 . 15- 0.10- 0.112 0.097 0.05 0.033 0.038 0.055 0.00- 0 3 5 6 8 Number of Live Births (a) What is the probability that a randomly selected 43- to 48-year-old mother who had a live birth in 2015 has had her fourth live birth in that year? (Type an integer or a decimal.) (b) What is the probability that a randomly selected 43- to 48-year-old mother who had a live birth in 2015 has had her fourth or fifth live birth in that year? (Type an integer or a decimal.) (c) What is the probability that a randomly selected 43- to 48-year-old mother who had a live birth in 2015 has had her sixth or more live birth in that year? (Type an integer or a decimal.) (d) If a 43- to 48-year-old mother who had a live birth in 2015 is randomly selected, how many live births would you expect the mother to have had? (Round to one decimal place as needed.) Next 6:23 PM ~ ENG 9/26/2022 Ws) possible Submit te An investment counselor calls with a hot stock tip. He believes that if the economy remains strong, the investment will result in a profit of $50,000. If the economy grows at a moderate pace, the investment will result in a profit of $20,000. However, if the economy goes into recession, the investment will result in a loss of $50,000. You contact an economist who believes there is a 30% probability the economy will remain strong, a 60% probability the economy will grow at a moderate pace, and a 10% probability the economy will slip into recession. What is the expected profit from this investment? The expected profit is $ . (Type an integer or a decimal.) Next 6:23 ~ENG 2 4X D 9/26/21 In the game of roulette, a player can place a $5 bet on the number 19 and have a ,. probability of winning. If the metal ball lands on 19, the player gets to keep the $5 paid to play the game and the player is awarded $175. Otherwise, the player is awarded nothing and the casino takes the player's $5. What is the expected value of the game to the player? If you played the game 1000 times, how much would you expect to lose? The expected value is $. (Round to the nearest cent as needed.) The player would expect to lose about $. (Round to the nearest cent as needed.) VI VI More Next 6:23 PM X ~ ENG @ 4 X D 9/26/2022 End PgUp POD PrtScn Home F8 F9 F10 F13