Question 5: Using the Poisson Formula, find the following Probabilities: 1. P(xs2); A = 6 2. P(x=1); A = 4 3. P(xs3); A = 5
Q: 1. P(A) = 0.45, P(B) = 0.25, and P(An B) = 0.35, find the following probabilities: (a) P(A') (b) PA…
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Q: 5. If P(A) = 0.6, P(B) 0.4, and P(An B) = 0.3, determine the following probabilities. each): (a)…
A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…
Q: Example 6: Find the following probabilities or area. (i) P(Z 1.65) (iii) P(1.32 < z < 1.59)
A: (i)P(Z<1.34)=?(ii)1.65)=? \)" data-mce-style="cursor:…
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A: We have given that Mean(µ) = 125Standard deviations (σ) = 28.7
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Q: 2. jrhe following probabilities are given for a certain life: SP80 - 0 65, 25 Pss - 0.45, and 20P55…
A: Given the following probabilities p805=0.65, p55 25=0.45 andp55 20=0.35
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A: if your friend goes first. p(winning of any person in any single trial) = p(1 or 2) = 2/6 = 1/3 a.…
Q: {10.2} Suppose that events E and F are independent, P(E)=0.7, and P(F)=0.6. What is the P(E…
A: Given that P(E)=0.7, and P(F)=0.6 P(E and F)=P(E∩F) If E and F are independent. P(E∩F)=…
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A: We have to use Bayes theorem to find the conditional probability.
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Q: 2. jrhe following probabilities are given for a certain life: 5P80 - 0 65, 25 Pss 0.45, and 20P55 =…
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Q: (b) A box contains eight resistors and the probability that a resistor functions = 0.35. What is the…
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A: Given,The average no.of doses per week =14so, an average no.of doses per day is =147=2 dosesand…
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Q: 2. The following probabilities are given for a certain life: 10P75 = 0.55, 20 P60 = 0.35, and 15P60…
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Q: Consider the following probability distribution where random variable X denotes the number of cups…
A: Given data is x 0 1 2 3 4 5 P(x) 0.35 0.40 0.16 0.02 0.02
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Q: If X Z N(5,4), then what is the probability that 8 < Y < 13 where Y = 2r +1?
A: Solution: Let X~N(μ= 5, σ2= 4)
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A: hereX~Binomial distributionPX=x=nCxPx 1-Pn-x
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- The probability that a student will pass in the Economics test is 2/3, and that a vill not pass in the English test is 5/9. If the probability of his passing in at ne ane of these two tests is 4/5 , find the probability that he will pass in both 20 is the tests. CS Scanned with CamScannerQUESTION 3It has been established that soccer ace Fernandes chances of scoring a penalty is 70 percent all thetime. However, he is a streak shooter, and if he scores on one shot, his probability of scoring it on thepenalty shot immediately following is 0.85. But it has also been pointed out that another soccer starZlatan chances of scoring a goal in any game is 65 percent all the time. However, since he is a streakstriker, and if he scores in one game, his probability of scoring in the game immediately following is0.75.3.1.Write this in the probability notation. 3.2.Calculate the probability that Fernandes will score the penalties on two consecutive shots. 3.3.Calculate the probability that Fernandes scores a penalty because Zlatan has scored twice. 3.4.Are probabilities that Zlatan scores in second game and that he scores in the third gameindependent in this question? Explain.1. ABC inc. stock is currently selling for $30, one year from today the stock price can either increase by 20% or decrease by 15%. The probability of an increase in the stock price is equal to 0.3. The one-year risk-free rate is 5% What is the value of a European put that expires in one year with an exercise price of $24. 2. Graphically, show the value and the profit and loss of the following butterfly position: Long in a call with an exercise price of $30, short in 2 calls with an exercise price of $45, and long in a call with an exercise price of 60. All calls are written on the same stock and have the same maturity. 3. "Early exercise of an American option on a stock that does not pay any dividend is not optimal regardless of whether the option is a Call or a Put". True, False, or Uncertain. Explain.
- Let X₁ and X₂ be independent r.v.'s having the same distribution, taking on values 0 and 1 with respective probabilities 0.2 and 0.8. Answer Questions 12 and 13 below. Question 12 Write the m.g.f. of X₁ + X₂ + 2. (0.2+0.8e²) ²% e²z ○ (0.2e + 0.8e²x) e²z (1 + 0.² e² )² e²² (0.2+0.8e²)² e²z Question 13 Write the m.g.f. of X₁ – 2X₂. (0.2 +0.8e²) (0.2 +0.8e-2²) (0.8e + 0.2e²) (0.2e + 0.8e-2²) (0.2e +0.8e²) (0.2e-² +0.8e-²²) O (0.2e² +0.8e-²) (0.2e + 0.8e²)The probability of afternoon rain given morning cloud cover >50% is of interest to those forecasting the weather. You can calculate this probability using Bayes' Theorem (below). The probability of morning cloud cover in general is 30% in the area you are concerned with and when there's afternoon rain, morning cloud cover of the kind described above occurs 90% of the time. The probability of rain in general for the area is about 26% of days. From the above information, identify what P(BIA) would be. Express your answer as a proportion, rounded to two decimal places. P(A/B)= = P(B|A)*P(A) P(B)The probability of an integrated circuit passing a quality test is F. In a batch of 10 integrated circuits find the probabilities thati. 2 will failii. 8 will passiii. at least 2 will failiv. fewer than 2 will fail.
- Solve the following 1. If the joint probability distribution of X and Yis given by x+y f(x, y) for x = 0,2,3; y = 0,1,2 30 FindThe route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.45, the analogous probability for the second signal is 0.5, and the probability that he must stop at at least one of the two signals is 0.9. (a) What is the probability that he must stop at both signals? X (b) What is the probability that he must stop at the first signal but not at the second one? X (c) What is the probability that he must stop at exactly one signal?QUESTIÓN 6 Assume that a researcher randomly selects 14 newborn babies and counts the number of girls selected, x. The probabilities corresponding to the 14 possible values of x are summarized in the given table. Answer the question using the table. Probabilities of Girls x(girls) P(x) x(girls)| P(x) x(girls) P(x) 0.061 0.000 0.122 10 1 0.001 6 0.183 11 0.022 2 0.006 7 0.209 12 0.006 3 0.022 0.183 13 0.001 4 0.061 9 0.122 14 0.000 Find the probability of selecting exactly 5 girls. O 0.022 O 0.122 O 0.061 O 0.001
- Use the following information to answer A-C. The table below shows the probablity of a certain number of students having fatigue. (Out of 4 randomly selected students)/ x P(x) 0 0.10 1 0.20 2 0.35 3 0.30 4 0.05 A) What is the probability that more than 2 of 4 randomly selected students have fatigue? B) What is the mean (to the nearest 0.1) number of students with fatigue out of 4 randomly selected students? C) What is the standard deviation (to the nearest 0.1) of the number of students with fatigue out of 4 randomly selected students? [Show all work with a table or formula]question number 1 only. thanksJack has just been given a ten-question multiple choice quiz in history class. Each question has five answers, of which only one is correct. Since Jack has not attended class recently, he does not know any of the answers. Assuming Jack guesses randomly on all ten questions, find the probability that he will answer six or more of the questions correctly and avoid an F.
