Math 302 course hero qquuez

n 1 1 Suppose a random variable, x, arises from a binomial experiment. If n = 25, and p = 0.85, find the P(X ≥ 15) using Excel. Round answer to 4 decimal places. Answer: ___0.9995 ___ uestion 1 feedback 5)= 1 - P(x ≤ 14), in Excel NOM.DIST(14,25,0.85,TRUE) on 2 1 / A coin is flipped 30 times. What is the probability of getting 15 or more heads? Round answer to 4 decimal places. Answer: ___0.5722 ___ uestion 2 feedback 5) = 1 - P(x ≤ 14) in Excel NOM.DIST(14,30,0.5,TRUE) on 3 1 / If random variable X has a binomial distribution with n =8 and P(success) = p =0.5, find the probability that X is at most 3. (That is, find P(X ≤ 3)) (round to 4 decimal places) Answer: ___0.3633 ___ uestion 3 feedback el, =BINOM.DIST(3,8,0.5,TRUE) on 4 1 / If random variable X has a binomial distribution with n=9 and P(success) =p= 0.4, find the standard deviation of X. (round to 4 decimal places) Answer:

___1.4697 ___ uestion 4 feedback el, T(9*0.4*0.6) on 5 1 / An unprepared student takes a 10 question TRUE/FALSE quiz and ended up guessing on all the problems. Find σ. Round answer to 4 decimal places. Answer: ___1.5811 ___ uestion 5 feedback T(n*p*q) = SQRT(10*.5*.5) on 6 1 / The table of data obtained from WWW.BASEBALL-ALMANAC.COM shows hit information for four well known baseball players. Suppose that one hit from the table is randomly selected. NAME Single Double Triple Home Run TOTAL HITS Babe Ruth 1,517 506 136 714 2,873 Jackie Robinson 1,054 273 54 137 1,518 Ty Cobb 3,603 174 295 114 4,189 Hank Aaron 2,294 624 98 755 3,771 TOTALS 8,468 1,577 583 1,720 12,351 Find P (hit was made by Ty Cobb|The hit was a Home Run). 0.033 0.066 114 0.009

2*3*5 n 10 1 Does the following table represent a valid discrete probability distribution? x 1 2 3 4 5 P ( X = x ) 0.11 0.06 0.18 0.06 0.96 yes no Hide question 10 feedback No, since the probabilities do not add up to 1 n 11 1 Does the following table represent a valid discrete probability distribution? x 1 2 3 4 5 P ( X = x ) 0.16 0.11 0.06 - 0.36 0.21 yes no Hide question 11 feedback No, since the probabilities do not add up to 1 and all probabilities need to be between 0 and 1. Probabilities cannot be negative. n 12 1 True or False: The following table represents a valid discrete probability distribution. x 1 2 3 4 5

P(X = x ) 0.16 0.06 0.05 0.21 0.01 True False Hide question 12 feedback The probabilities need to add up to 1 or 100% n 13 1 Let X be the number of courses taken by a part-time student at a college. The following table shows the probability distribution of X with probability as a percentage. Number of Courses , x 1 2 3 Probability, P ( X = x ) 52% 28% 20% What is the probability that a randomly selected part-time student at this college takes at least 2 courses? (That is, find P(X ≥ 2) Answer: ___0.48 ___ (round to 2 decimal places) uestion 13 feedback r than or equal to 2 is 2 AND 3. P(x =2) + P(x = 3) 20 on 14 1 / There are 4 accidents, on average, at an intersection. Assume the variable follows a Poisson distribution. Find the probability that there will be less than 2 accidents at this intersection. (That is, find P(X < 2)) (round to 4 decimal places) Answer:

There are 3.1 accidents, on average, at an intersection. Assume the variable follows a Poisson distribution. Find the probability that there will be 5 accidents at this intersection. (That is, find P(X=5) (Round answer to 4 decimal places) Answer: ___0.1075 ___ uestion 17 feedback el, SON.DIST(5,3.1,FALSE) on 18 1 / The mean number of visitors at a national park in one weekend is 55. Assume the variable follows a Poisson distribution. Find the probability that there will be at most 71 visitors at this park in one weekend. (That is, find P(X≤71) (round to 4 decimal places) Answer: ___0.9841 ___ uestion 18 feedback el, SON.DIST(71,55,TRUE) on 19 1 / On a baseball team, there are infielders and outfielders. Some players are great hitters, and some players are not great hitters. Let I = the event that a player in an infielder. Let O = the event that a player is an outfielder. Let H = the event that a player is a great hitter. Let N = the event that a player is not a great hitter. Write the symbols for the probability that a player is an outfielder or is a great hitter. P(N or O) P(O or H)

P(H|O) P(O and H) Hide question 19 feedback You need to use the word "or" in the probability. O is Outfield and H is hitter. P(O or H) n 20 0 A box is filled with several party favors. It contains 12 hats, 15 noisemakers, 10 finger traps, and 5 bags of confetti. Let H = the event of getting a hat. Let N = the event of getting a noisemaker. Let F = the event of getting a finger trap. Let C = the event of getting a bag of confetti. Find P(C). 0.134 0.119 0.367 0.247