need help with 2,3, and 5-13 please! just asking for a double check on them since I struggled the most on this part of the class
9:46 PM Sun Aug 9 80% T O + Question 2 6 / 9 pts You are dealt one card from a standard 52-ca 13.3] +3 below to see what cards are in the deck. eck. You can refer to the picture Standard Deck of Playin a . ) mutually exclusive (PLA) - + P(B) 75 =0.15 ace b.) Not mutually exclusive Find the probability of being dealt an ace or a 9. Round to two decimal places. P (A) : 52 0.15 diamond face P(B) : 52 -P( AIB ) =0.48 DIF Find the probability of being dealt a diamond or a face card. Face cards are C. ) 52 0.307 ... -> 1- 0.307.. = 0.69 considered Jacks, Queens, or Kings. Round to two decimal places. 0.75 OF 32 = 0 69 Find the probability of being dealt anything but a face card. Round to two decimal places. 0.69 Question 3 549 pts P= 0.67 According to survey conducted on Americans around six of me online purchase in 2017. Lets say we took a random sample of 10 Americans. Use icans made an 9= 0.33 this information to find the following binomial probabilities. n = 10 Find the probabilities that exactly 5 people had made an online purchase. Round to two decimal places a .) p (5 ) = 0.13 0.40 b.) P ( x = 3 ) : 0.02 Find the probability that 3 or les two decimal places ople had made an online purchase. Round to 8 8 8 0.02 C.) P ( x 3 6 ) = 0.$7 Find the probability that more than 6 people Round to two decimal places 0.79 Question 4 7/7 pt A pizza shop gives an option for 4 different types of crust. 3 different cheeses, 10 different meat toppings, 8 different vegetables toppings, and 2 different sauces. How many different pizzas can be made if you can only choose one of each option ? ( F. C. P ) 1,920 Question 5 9/9 pts The probability it will rain is 40% for each day over a three-day period. Assume (3.2] 48) that each day is independent of each other. Use this to answer the following questions. P- 0.40 ~ 3 day period - Independant What is the probability that it rains all three days? Round to three decimal places. 2.) 0.40 - 0 40 * 0.40 0.064 or 0.40 = 0.064 What is the probability that It doesn't rain in the next three 6.) complementary PLE") = 1- P(E) - 1 0.064 = 0.936 new prob . that it doesn't rain - BUT " under 3 day period ? What is the probability that it rains at least once in the next three days? 0.820 = 0.936 0.936 x 0.936 C.) PLE) : - 0.820 0 180 Question 6 (3.47 8 In a singing competition there are 16 finalists. The top five singers receive prizes. How many different ways can the singers finish first through fifth? n =16 16-15-14.13.12- M4! $24 160 4368 r: 6 524,160 order does matter 120 39.916.800 Question 7 3/8 pts V A baseball player is asked to swing at pitches in sets of four. The player swings at 100 sets of 4 pitches. The probability distribution for hitting a particular number 1.2304 1.112834219 of pitches is given below. K, Number of Hits fo 29:46 PM Sun Aug 9 80% + 120 39.916.800 Question 7 3/8 pts A baseball player is asked to swing at pitches in sets of four. The player swings at ts of 4 pitches. The probability distribution for hitting a particular number of pitches is given below. X, Number of Hits 15 0 1 2 3 Probability,P(x) |0.03 0.08 0.22 0.24 0.43 E ( X) : M . E x Plx ) = 2.96 Find the expected value, the expected number of hits. Round to two decimal places. 0 = 1.24 0.97 Find the variance of the prob Question 8 0/7 pts [3.47 A towns lottery has 52 numbers and each ticket has 6 of those numbers. In how many different ways can 6 of the numbers be selected? (Assume that the order doesn't matter and a number can't be chosen twice) nor - order doesn't matter n= $2 r = 6 (52- 6)!6! = 20, 358, 520 Question 9 4 / 8 pts A group of 100 college students was asked if they is a table with their responses . credit card or not Below Class Has Credit No Credit 13.2] (# 3 Card Total Freshman 12 Sophomore 26 48 60 14 a. 26 sophomore ) Total 38 62 100 38 ( student classes ) =0.68 What is the probability that a randomly selected stud a sophomore? Round to two decimal places. b. ) 12 (fushiman) 0.32 60 ( total no / has credit card ) = 10.20 What is the probability that a randomly selec the student owns a credit card? Round to two decimal places 0.20 Question 10 6/9 pts X - M Salaries of elementary school teachers in the United States are normally distributed with a mean of $32,000 and a standard deviation of $3,000. Use this information to answer the following. Round each probability to two decimal u = 32,000 places. 5 = 3, 000 $28,000. Find the probability that a random elementary school teacher makes less than a . ) p( x 4 28, 000 ) left ) 2 = 28,000 - 32,000 3000 -1.33 - 0.09 Find the probability that a random eleme tary school teacher makes more than 6.) P(x > 33 500) ( right) 2 - 0.5 = 0.31 normalalf (1EGG, -1.33 ... $33,500. C.) P 28,000 4X 32,000 normalelf (U.S, LEga , ... Find the probability that a random $28.000 and $32,000, y school teach makes between 2 = - 1. 33 4 2 -0 0.500 -0.0917 0.0917 0.500 normalcof ( - 1.33 , 0 , . . . Question 11 0/6 pts area to the left What is the area to the left of 2 - 1.96? Round to three decimal places. normaledf ( - 1Eqq , 2 - scove , 0 . 1 ) area = 0. 975 Question 12 0 / 6 pts What is the area to the left of 2 - 0.80 ? Round to three decimal places . 10.789 Question 13 0/6 pts What z-score has 0.10 area to the right? Round to invNor. ( 0.10, 0, 1, RIGHT .28 PIN 2 = 7 V
