3. Fill in the following probability distribution table and then calculate the stated probabilities Outcome a...
Complete the following probability distribution table and then calculate the stated probabilities. I Outcome b d Probability 0.1 0.67 0.1 0.03 а с e (a) P({a, c, e}) P({a, c, e}) = (b) P(EUF), where E = {a, c, e) and F = {b, c, e} P(EU F) = (c) P(E'), where E is as in part (b) P(E') = (d) P(En F), where E and F are as in part (b) P(En F) =
a С e Complete the following probability distribution table and then calculate the stated probabilities. Outcome b d Probability 0.1 0.07 0.7 0.03 (a) Pl{a, c, e}) Pl{a, c, e}) = (b) P(EU F), where E = P(EU F) = {a, c, e) and F = {b, c, e} (C) P(E'), where E is as in part (b) P(E') = (d) P( EF), where E and Fare as in part (b) P(En F) =
Complete the following probability distribution table and then calculate the stated probabilities. HINT [See Quick Example 5.] d Outcome Probability a | 0.3 b c 0.02 | 0.5 | 0.08 (a) Pl{a, c, e}) P({a, c, e}) = (b) PCE U F), where E = {a, c, e} and F = {b, c, e} P(E U F) = (c) P(E'), where E is as in part (b) P(E') = (d) P(En F), where E and F are as in part...
Complete the following probability distribution table and then calculate the stated probabilities. HINT [See Quick Example 5.] Outcome a b c d e Probability 0.1 0.09 0.5 0.01 _____ (a) P({a, c, e}) P({a, c, e}) = (b) P(E ∪ F), where E = {a, c, e} and F = {b, c, e} P(E ∪ F) = (c) P(E'), where E is as in part (b) P(E') = (d) P(E ∩ F ), where E and F are as in...
Complete the following probability distribution table and then calculate the stated probabilities. HINT [See Quick Example 5.] Outcome a b c d e Probability 0.1 0.01 0.4 0.09 (a) P({a, c, e}) P({a, c, e}) = (b) P(E ∪ F), where E = {a, c, e} and F = {b, c, e} P(E ∪ F) = (c) P(E'), where E is as in part (b) P(E') = (d) P(E ∩ F ), where E and F are as in part (b) P(E ∩ F)...
Complete the following probability distribution table and then calculate the stated probabilities. HINT [See Quick Example 5.] Outcome a b c d e Probability 0.1 0.05 0.4 0.05 (a) P({a, c, e}) P({a, c, e}) = (b) P(E ∪ F), where E = {a, c, e} and F = {b, c, e} P(E ∪ F) = (c) P(E'), where E is as in part (b) P(E') = (d) P(E ∩ F ), where E and F are as in part (b) P(E ∩ F)...
5. A uniform probability distribution is one where the probabilities of each outcome are exactly the same. Determine if each situation can be modelled by a uniform probability distribution. a. Rolling a 10-sided die. b. Flipping two regular coins. c. Drawing a marble out of a bag with 7 different coloured marbles inside. d. Playing a lottery where you choose 4 numbers out of 25 different numbers.
Calculate the following binomial probabilities by either using one of the binomial probability tables, software, or a calculator using the formula below. Round your answers to 3 decimal places. A.) P(x | n, p) = n! / (n − x)! x! · p^x · q^n − x where q = 1 − p P(x < 7, n = 8, p = 0.9)= B.) P(x | n, p) = n! / (n − x)! x! · p^x · q^n − x...
Part III – Probability and Statistics Each question is worth 4 points. 1. Consider the following experiment and events: two fair coins are tossed, E is the event "the coins match”, and F is the event “at least one coin is Heads”. (a) Find the probabilities P(E), P(F), P(EUF), and P(En F). (b) Are the events and F independent? Explain. 2. Let X be a discrete random variable with the probability function given by f(2) k(x2 – 2x) + 0.2...
a) What is probability of observing 61325 when rolling fair dice? Probabilities for fair dice: P(1)=P(2)=P(3)=P(4)=P(5)=P(6)=1/6 b) What is probability of observing 61325 when rolling loaded dice? Probabilities for fair dice: P(1)=P(2)=P(3)=P(4)=P(5)= 0.1 and P(6)=0.5 c) What is probability of observing A in a random sequence? d) What is probability of observing ATGC in a random sequence? e) What is probability of observing ATGC in a genome described by a simple model where P(G)=P(C)=0.33 and P(A)=P(T)=0.17 i.e. P(ATGC | simple...