32. The probability of a man hitting the target is 4 (i) If he fires 7 times, what is the probability of his hitting the target at least once : (ii) How many times must he fire so that the probability of his hitting the target at least once is greater than 2/3.
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- Consider an experiment in which a marble is tossed into a rectangular box with dimensions 2x centimeters and 6x + 2 centimeters. The probability that the marble will come to rest in the unshaded portion of the box is equal to the ratio of the unshaded area to the total area of the figure. Find the probability in simplified form.Wyatt buys a bag of cookies that contains 8 chocolate chip cookies, 4 peanut butter cookies, 8 sugar cookies and 6 oatmeal cookies. What is the probability that Wyatt reaches in the bag and randomly selects a chocolate chip cookie from the bag, eats it, then reaches back in the bag and randomly selects an oatmeal cookie? Give your answer as a fraction, or accurate to at least 4 decimal places.Assume that n = 10, and p = 6/8. Find the probability of at least 1 success and at least 3 failures.
- A marksman has a probability of 0.343 for hitting a certain long-range target. What is the probability that it takes 3 shots for the marksman to hit the long-range target? (Round your answer to three decimal places, if necessary.)Results from trials for a new pill for sleeping are given in this table. slept better (B) no improvement (N) sleeping pill (S) 144 21 sugar tablet (T) 55 89 What is the probability that the subjects slept better if they took the sleeping pill = P(B|S) ? What is the probability that the subjects took the tablet if they slept better = P(T|B)? Give your answer as a fraction.X P(x) =C p*q"-x %3D When processing credit-card applications there is a 40% chance that an application will have incomplete or insufficient information and require research. You have 5 applications in your to-do pile and would like to leave early today. (a) Fill in the values: n = q = (b) What is the probability of exactly three applications needing research? (enter a number between 0 and 1, 4 decimal places) Answer= (c) What is the expected number of applications that will need research? Answer= (d) What is the probability of having AT LEAST the expected number of applications needing research? (enter a number between 0 and 1, 4 decimal places) Answer= Please answer all parts of the question.
- Sarah and Thomas are going bowling. The probability that Sarah scores more than 175 is 0.5 , and the probability that Thomas scores more than 175 is 0.1 . Their scores are independent. Round your answers to four decimal places, if necessary. (a) Find the probability that both score more than 175 . (b) Given that Thomas scores more than 175 , the probability that Sarah scores higher than Thomas is 0.4 . Find the probability that Thomas scores more than 175 and Sarah scores higher than Thomas.If the odds in favor of event E are a to b the probability of the event is given by P(E) = a/(a+b) Choose one of the causes of death from the article and convert odds to probability - determine the probability of this cause of death. Determine the probability that the cause of death is not the one you chose. Explain why it is so difficult to calculate this probability directly yet so easy to calculate it using a trick.You can chose which death or you can do for drowning doesnt matter.A farmer only grows apple and orange trees in his orchard. 40% of his trees are apple trees. He is concerned that a parasite may be infecting his trees. The probability of the parasite infecting a given apple tree is 5% and the probability of the parasite infecting a given orange tree is 3%. Please give your answers to 3 decimal places, for example 0.305. a) What proportion of his trees are infected by the parasite? Your answer is 1 b) If a given tree is not infected, what is the probability that this tree was an apple tree? Your answer is
- Ezra buys a bag of cookies that contains 9 chocolate chip cookies, 7 peanut butter cookies, 4 sugar cookies and 4 oatmeal cookies.What is the probability that Ezra reaches in the bag and randomly selects a peanut butter cookie from the bag, eats it, then reaches back in the bag and randomly selects a chocolate chip cookie? Give your answer as a fraction, or accurate to at least 4 decimal places.A nervous kicker usually makes 69% of his first field goal attempts. If he makes his first attempt, his success rate rises to 94%. What is the probability that he makes his first two kicks? The probability that the kicker makes his first two kicks is (Round to three decimal places as needed.)Charlie is about to take two laps in the school swimming pool. The time of his first lap is X minutes, where X is an Exponential(1) random variable. The time of his second lap is Y minutes, where Y is an Exponential(X) random variable. What is the probability that he completes his second lap within one minute?