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Home Question Bank Math Probability Archive 2024 December 12

Probability Questions from Dec 12,2024

Browse the Probability Q&A Archive for Dec 12,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Dr Faridon Amdjadi, Mechanical Engineering (Tota Find the probability \( P(-1.24<z<-0.07) \) using the standard normal distribution. Select the correct answer. 0.6464 0.6823 0.1841 0.3646 Statistics \& Probability: Two number cubes are thrown one after the other. What is the probability that each number cube shows an even number? (b) If an output component is only accepted when its length lies in the range between 112.8 mm and 168.0 mm , find the expected proportion of components that are accepted. i.e. determine the below probability. Enter your answer rounded correct to 4 decimal places \( P(112.8<X<168.0)= \) Number mm (b) If an output component is only accepted when its length lies in the range between 112.8 mm and 168.0 mm , find the expected proportion of components that are accepted i.e. determine the below probability Enter your answer rounded correct to 4 decimal places \( P(112.8<X<168.0)= \) Number (7.5 Mark) Click on Verity to continue Section Attempl 1 of 1 Dr Faridon Amdjadi, Mechanical Engineerin Find the probability \( P(-1.15<z<0.09) \) using the standard normal distribution. Select the correct answer. 0.5894 The probability distribution of the discrete random variable \( X \) is \( f(x)=\left(\frac{3}{2}\right)\left(\frac{1}{4}\right)^{x}\left(\frac{3}{4}\right)^{3=x} \) Find the mean of \( X \) (Hint: Give your answerin 2 decimal points). The PMF of a random variable \( X \) taking value in \( N \cup\{0\} \) is given by \( P_{I}(i)=e^{-\lambda} \frac{\lambda^{i}}{n}, i=0,1,2, \ldots \) where \( \lambda \) is a positive real number. Given that \( \lambda=2 \), find \( P(X=0) \) \( P(X>2) \) The PMF of a random varlable \( X \) taking value in \( N \cup\{0\} \) is given by \( P_{I}(i)=e^{-\lambda} \frac{\lambda^{i}}{n}, i=0,1,2, \ldots \) where \( \lambda \) is a positive real number. Given that \( \lambda=2 \), find \( P(X=0) \) \( P(X>2) \) One card is selected at random from a deck of cards. Determine the probability of selecting a card that is less than 8 or a heart. Note that the ace is considered a low card. The probability that the card selected is less than 8 or a heart is (Type an integer or a simplified fraction.) A corporation must appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial officer (CFO). It must also appoint a planning committee with three different members. There are 15 qualified candidates, and officers can also serve on the committee. Complete parts (a) through (c) below. a. How many different ways can the four officers be appointed? There are \( \square \) different ways to appoint the four officers. b. How many different ways can a committee of three be appointed? There are \( \square \) different ways to appoint a committee of three. c. What is the probability of randomly selecting the committee members and getting the three youngest of the qualified candidates? P(getting the three youngest of the qualified candidates) = (Type an integer or a simplified fraction.)
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