(iii) Use the Binomial Theorem to show that F-5(*) Σ() = 27 k=0
Q: 1. Fill out the table.
A: here given outcomes of rolling 2 dice there are total 36 outcomes
Q: 15. Suppose that the probability that Bob will go downtown is 14%. Now, also suppose that if Bob…
A:
Q: 6. A number X is chosen at random from the numbers - 8, -4, 2, 4, 8. What is the probability that…
A: Xi: -8, -4, 2, 4, 8 P(|X|>4)= P(-4<X<4) There is only one term between -4 and 4 i.e. 2.…
Q: What is the probability that the general manager is next to the vice president?
A: The probability of an event is given by, PE=Number of favorable outcomesTotal number of outcomes.…
Q: = .40. What is the joi ppose P(X.
A: 24 Given information: P(X1)=0.75 P(Y2|X1)=0.40
Q: Find the probability P( -1.51 < Z < -1.36 ). 0.4404 0.5596 0.9786 0.0214
A: Given that, P( -1.51 < Z < -1.36 )
Q: 39. A card is drawn random from a standard deck of cards. Find the probability of drawing an ace. a.…
A:
Q: 18. Suppose that the probability that Bob will eat a kiwi is 36%. Find the probability that Bob will…
A:
Q: 14. Find the probability P( Z < 1.79 ). 0.4633 0.0367 0.9633 0.5367
A: For normal distribution probability density function, if we substitute mean=0 and standard…
Q: particular minute there will be (1) (ii) More than 6 calls. 4 or fewer
A:
Q: 12. Suppose that the probability that Bob eats a banana at lunch is 41%. Also, suppose that the…
A:
Q: 3. 7. The probability that A will live upto 60 years is - and . probability that B will live up to…
A: We have given that, P(A) = 3/4 and P(B) = 2/3
Q: 12. If a pair of dice is thrown. Find the probability that a. The sum of score is 6 b. The sum of…
A: Answers are : (a) 0.1389 (b) 0.2222 (c) 1-0.2222 = 0.7778 (d) 0.02778
Q: 21. There are 2 coffee machines at the Café. Probability that machine1 fails is 0.3. Probability…
A:
Q: 1. A royal flush is the most powerful poker hand. It consists of the five highest cards in a single…
A:
Q: D. In new york city, the probability that a working age adult gets too little sleep (< 7 hours…
A:
Q: 4. The probability of an examinee passing the board exam is 0.6. Find the probability of passing the…
A: Given that p = 0.6 p : probability of an examinee passing the board exam. X ~ Geometric(p = 0.6)…
Q: 1. Number of tails when tossing a coin five times 2. Length of electrical wiring on electrical…
A: according to our guidelines we can answer only three subparts, or first question and rest can be…
Q: true/False 1.Events E and F are dependent if the probability of event E is unaffected by the…
A:
Q: 8. Three fair coins are tossed. Find the probability that they are all heads if the first coin is…
A: 3 fair coins are tossed.
Q: Give the most specific/exact description for each term in short answer form. 1. probability 2. event…
A: “Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…
Q: 23. Suppose P(A) = .40 and P(B\A) = .30. What is the joint probability of A and B? 10 What is the:.…
A: From the provided information, P (A) = 0.40 P (B|A) = 0.30
Q: 30. Flip five unfair coins where, for each coin, P(H) = 0.35 and P(T) = 0.65. Let X be the total…
A: In question, Given that five fair unfair coins are flipped with P(H) = 0.35 and P(H) = 0.65. And X…
Q: test consists of 10 true or false questions. To pass the test a student must answer at least eight…
A: 1. The binomial distribution is a discrete probability distribution in which there are a fixed…
Q: ملاحضة / / يجب كتابة النتيجه فقط 1. How many odd numbers with at most two digit can be formed using…
A:
Q: 22. A baseball team consists of 14 American-born players and 11 foreign-born players. Nine players…
A: Solution: 22. From the given information, a baseball team consists of 14 American-born players and…
Q: A box contains 5 green pencils and 7 yellow pencils. Two pencils are chosen at random from the box…
A: The total number of pencils =5+7=12 Let event A: The first pencil chosen yellow.P(A)=C17C112=712Let…
Q: Find the probability that in four tosses of a fair die, the number 2 appear a. At no time b. Once c.…
A: Givenfair die is tossed four timessample size(n)=4probability of getting "2" when a die is tossed=16…
Q: 3. Find the probability the sum of two die is greater than 7, given that the first die is a 4.
A: Solution: 3. Suppose two dice are rolled. Then, the sample space is Number of elements in the…
Q: 1. A coin is tossed twice. Let A=event the 1* toss is head, and B=event the 2nd toss is head, Find…
A: Solution As per guidelines we answer the first question only, please post other questions in a fresh…
Q: How many people need to attend a party for there to be a > 80% probability that at least two of them…
A: Given information: The probability that at least two of the people share the same birthday is 0.8.
Q: 13) Approximately 59.4% of adults have added bleach to their laundry. Assume six adults are randomly…
A: Given n=6 P=0.594
Q: 4 5 6 7 8 2 What is the probability of rolling a 3 and then an even number? 1 16 1. 112 510o1108
A: Here we are given the numbers; 1 2 3 4 5 6 7 8 We have one 3 and 8 different numbers. Hence…
1.2.
It is to be proved using the Binomial Theorem that
Step by step
Solved in 4 steps with 10 images
- i need the answer quicklySuppose a discrete random variable X takes only three values 0, 2 and 3. If P(0)=0.5, P(2)=0.2 and P(3)=D0.3 then P(X>1) is equal to: Select one: a. 0.3 b. 0.2 C. 0.5 d. 013. According to a recent random sample of 31 Canadian Football League players, the mean age was approximnately 27.71 years with a variance of 2.59. Lonnie Lobowsky of the Yukon Argonauts has an age with Z-score equivalent to 2.21. Determine his age. A. 31 B. 37 C. 33 D. 35 E. 28 -
- 11. Find the probability of the indicated event if P(E) = 0.20 and P(F)= 0.35. Find P(E and F) if P(E or F)= 0.30 P(E and F) = (Simplify your answer.)9. The probability that an entering college student will graduate is 0.4. Determine the probability that out of 5 students (a) none (b) at least 1 (c) all will graduate.17. Two dice are rolled. Find the probability that: (a) The sum of the numbers is 8. (b) The sum of the numbers is less than 13. (c) The sum of the numbers is more than 8. (d) The sum is less than 4.
- Joyce removes the pennies from her purse. Now her bag contains 12 nickels, 26 dimes, and 14 quarters. She draws three coins from the purse (one at a time without replacement). 6 7. What is the probability that Joyce gets all quarters? What is the probability that Joyce gets all pennies? 8. What is the probability that Joyce gets three of the same type coin? 9. What is the probability that Joyce gets more than fifteen cents? 10. What is the probability that Joyce gets enough money to buy a can of diet coke that costs sixty cents?17. Suppose that the probability that Bob has a flat tire is 56%. Also, suppose that the probability that Bob ha= both a flat tire and a transmission failure is 14%. Find the probability Bob will have a transmission failure if h- has a flat tire. A. 0.21 В. 0.23 C. 0.25 D. 0.27Use the data in the table below, which shows the employment status of individuals in a particular town by age group. Part-time Unemployed Age Full-time 0-17 25 187 252 18-25 391 200 199 26-34 434 66 22 35-49 562 192 149 50+ 461 170 237 If a person is randomly chosen from the town's population, what is the probability that the person is under 18 or employed part-time?