VERY QUICK AND EASY. DONT NEED TO SHOW WORK Hello please help ASAP! Please TYPE the answer back to me, you can send the screenshots back and write on them.

*** On this assignment, I am allowed 2 tries per question, so if you have doubt of one answer you can write two for me and I will see if it is right.

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1A.

For each of the parts below that describe a geometric setting, nd the probability that X= 3. (Ifa geometric setting is not described, enter NONE.) (a) Flip a coin until you observe a tail. S (b) Record the number of times a player makes both shots in a oneiandione foulishooting situation. (In this situation, you get to attempt a second shot only if you make your first shot.) E (c) Draw a card from a deck, observe the card, and replace the card within the deck. Count the number of times you draw a card in this manner until you observe a jack. E (d) Buy a \"Match 6" lottery ticket every day until you win the lottery. (In a \"Match 6\" lottery, a player chooses 6 different numbers from the set {1, 2, 3,..., 44}. A lottery representative draws 6 different numbers from this set. To win, the player must match all 6 numbers, in any order.) : (e) There are 10 red marbles and 5 blue marbles in a jar. You reach in and, without looking, select a marble. You want to know how many marbles you will have to draw (without replacement), on average, in order to be sure that you have 3 red marbles. S Glenn likes the game at the state fair where you toss a coin into a saucer. You win if the coin comes to rest in the saucer without sliding off. Glenn has played this game many times and has determined that on average he wins 1 out of every 19 times he plays. Let Ybe the number of Glenn's coin tosses until a coin stays in the saucer: (a) Use the formula for calculating P(X > n) below to find the probability that it takes more than 13 tosses until Glenn wins a stuffed animal. P(X> n)=(1-p)\" S (b) Find the answer to (a) by calculating the probability of the complementary event: 1 - P(XS 13). Your results should agree, of course. Z (Note: The formula for P(X > n) is not practically important since there are other ways to answer the question. But it's a nice little result, and it's quite easy to derive.) The State Department is trying to identify an individual who speaks Farsi to fill a foreign embassy position. They have determined that 5% of the applicant pool are uent in Farsi. (a) If applicants are contacted randomly, how many individuals can they expect to interview in order to nd one who is fluent in Farsi? E (b) What is the probability that they will have to interview more than 28 until they find one who speaks Farsi? Q What is the probability that they will have to interview more than 40? E Three friends each toss a coin. The odd man wins; that is, if one coin comes up different from the other two, that person wins that round. If the coins all match, then no one wins and they toss again. We're interested in the number of times the players will have to toss the coins until someone wins. (@) what is the probability that no one will win on a given coin toss? b) Define a success as "someone wins on a given coin toss." What is the probability of a success? (c) Define the random variable of interest: X = number of coin tosses. Is X binomial, geometric, or otherwise? O binomial O geometric O otherwise Justify your answer. O Each observation falls into a "success" or "failure." The variable of interest is the number of trials required to obtain the first success. There is a fixed number n of observations. O The observations are all independent. The probability of success p is the same for each observation. None of these conditions are met. (d) Construct a probability distribution table for X. Then extend your table by the addition of cumulative probabilities in a third row. K P(X = k) P(X S k) W N A e) What is the probability that it takes no more than 3 rounds for someone to win? f) What is the probability that it takes more than 4 rounds for someone to win? g) What is the expected number of tosses needed for someone to win? (h) Use the randInt function on your calculator to simulate 25 rounds of play. Then calculate the relative frequencies for X = 1, 2, 3,.... Compare the results of your simulation with the theoretical probabilities you calculated in (d). (Do this on paper. Your instructor may ask you to turn in this work.)Among employed women, 30% have never been married. You choose 14 employed women at random. What is the mean number of women in such a sample who have never been married? S What is the standard deviation? S You are planning a sample survey of small businesses in your area. You will choose an SRS of businesses listed in the telephone book's Yellow Pages. Experience shows that only about half the businesses you contact will respond. (a) If you contact 100 businesses, is it reasonable to use the binomial distribution with n = 100 and p = 0.5 for the number tho respond? Explain why. U Each observation falls into a "success" or "failure." CI There is a fixed number n of observations. CI The n observations are all independent. U The probability of success p is the same for each observation. CI None of the binomial conditions are met. (b) What is the expected number (the mean) who will respond? |:| (c) What is the probability that 70 or fewer will respond? (Use the normal approximation.) E (d) How large a sample must you take to increase the mean number of respondents to 115? |:|