Gary and John are playing a game. Gary is going to randomly pick an integer from...
2. You randomly choose a letter from (A, B, C, D, E and a friend randomly chooses a letter from fa, b, c, d, e to create a pair of 2 letters with 1 upper case letter followed by 1 lower case letter. (Note: in the English alphabet, the vowels are A, E, I, O, U.) a) Write out the sample space for this experiment. (For example one outcome in the sample space is: Ac; another is Bb.) For parts...
Question 3 (15 pts). A gambler plays a game in which a fair 6-sided die will be rolled. He is allowed to bet on two sets of outcomes: A (1,2,3) and B (2,4,5,6). If he bets on A then he wins $1 if one of the numbers in A is rolled and otherwise he loses $1 -let X be the amount won by betting on A (so P(X-1)-P(X1)If he bets on B then he wins $0.50 if a number in...
Example Consider the following dice game. A pair of standard ( fair ) dice are repeatedly rolled. If a ’ 7 ’ comes up before an ’ 11 ’ , then the player wins, otherwise the player loses. Let W be the event that the player wins. Find P(W). To say the dice are fair is equivalent to assuming that Laplace’s rule holds and the 36 possible outcomes for a throw of the dice are equally likely. For convenience, an...
1) Continuous random variables are obtained from data that can be measured rather than counted. A) True B) False 2) Discrete variables have values that can be measured. A) True B) False 3) Determine whether the random variable described is discrete or continuous. The number of minutes you must wait in line at the grocery store A) continuous B) discrete 4) Determine whether the random variable described is discrete or continuous. The total value of a set of coins A)...
(b) IULUI SAPT Two dice are rolled. Find the probabilities of the following events. 13. The first die is 3 or the sum is 8. 14. The second die is 5 or the sum is 10. One card is drawn from an ordinary deck of 52 cards. Find the probabilities of drawing the following cards. 15. (a) A 9 or 10 (b) A red card or a 3 (c) A 9 or a black 10 (d) A heart or a...
Can Dogs Understand Human Cues? EXPLORATION Dogs have been domesticated for about 14,000 years. In that time, have they been able to develop an understanding of human gestures such as pointing or glancing? How about simi lar nonhuman cues? Researchers Udell, Giglio, and Wynne tested a small number of dogs in order to answer these questions. In this exploration, we wll first see whether dogs can understand human gestures as well as nonhuman gestures. To test this, the researchers positioned...
Have to show work for every problem 4. A company uses three plants to produce a new computer chip. Plant A produces 30% of the chips. Plant B produces 45% of the chips. The rest of the chips are produced by plant C. Each plant has its own defectiv rate. These are: plant A produces 3% defective chips, plant B produces 1% defective chips, plant C produces 5% defective chips. Hint: draw a tree diagram. (a) Construct a tree diagram...