Probability Questions from Dec 02,2024

Browse the Probability Q&A Archive for Dec 02,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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(a) \( P(z>-0.83)=\square \) (b) \( P(z \leq 1.58)=\square \) (c) \( P(-0.68<z<2.14)=\square \) 4 Tänk dig att du ska dra ett kort ur en kortlek. Skriv vad du kan få, om sannolikheten att få kortet är \( \begin{array}{ll}\text { a) } \frac{1}{52} & \text { b) } \frac{4}{52} \\ \text { d) } 50 \% & \text { e) } \frac{2}{52}\end{array} \) A new surgery is successful \( 70 \% \) of the time. If the results of 10 such surgeries are randomly sampled, what is the probability that at most 8 of them are successful? carry your intermediate computations to at least four decimal places, and round your answer to two decimal places. (If necescary, consult a list of formulas.) (c) Find and interpret the probability that a randomly selected fertilized egg takes over 25 days to hatch. The probability that a randomly selected fertilized egg takes over 25 days to hatch is (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. (Round to the nearest integer as needed.) A. If 100 fertilized eggs were randomly selected, \( \square \) of them would be expected to take more than 25 days to hatch. B. If 100 fertilized eggs were randomly selected, exactly \( \square \) would be expected to hatch on day 25 . C. In every group of 100 fertilized eggs, \( \square \) eggs would be expected to hatch in more than 25 days. (d) Find and interpret the probability that a randomlv selected fertilized eag hatches between 22 and 23 days. A find and interpret the probability that a randomly selected fertilized egg hatches in less than 21 days. (b) Frobability that a randomly selected fertilized egg hatches in less than 21 days is (Round to four decimal places as needed.) Interpret this probability. Selett the correct choice below and fill in the answer box to complete your choice (Round to the nearest integer as needed.) A. If 100 fertilized eggs were randomly selected, B. If 100 fertilized eggs were randomly selected, exactly would be expected to hatch in less than 21 days. C. In every group of 100 fertilized eggs, \( \square \) eggs would be expected to hatch in less than 21 days. (c) Find and interpret the probability that a randomly selected fertilized egg takes over 21 . The probability that a randoms to hatch. (Round to four decimal places as needed.) How do you find the probability of a compound event when two events are independent? \( P(n, 3)=72 . P(n, 1) \) olduğuna göre, \( n \) kaçtır? \( \begin{array}{lllll}\text { A) } 8 & \text { B) } 9 & \text { C) } 10 & \text { D) } 11 & \text { E) } 12\end{array} \) 7. \( T=\{v, f, k, l, r, h\} \) kümesinin üçü permütasyonlarının kaç tane- sinde f veya \( r \) bulunur? \( \begin{array}{llll}\text { A) } 36 & \text { B) } 72 & \text { C) } 96 & \text { D) } 120 \\ \text { E) } 240\end{array} \) D \( \left(\begin{array}{ll}l & \end{array}\right. \) A binomial probability experiment is conducted with the given parameters. Compute the probability of \( x \) successes in the \( n \) independent trials of the experiment. \( n=60, p=0.05, x=2 \) \( P(2)=\square \) (Do not round until the final answer. Then round to four decimal places as needed.) 10 Вероятность того, что новый утюог прослужит больше года, равна 0,96 . Веродтвость того, что он прослужит больше двух лет, равна 0,82 . Найдите веровтность того, что он прослужит меньше двух лет, но больше года. Ответ:
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