Mary's gambling luck follows a pattern. If she wins a game, the probability of winning the next game is 0.6. However, if she loses a game, the probability of losing the next game is 0.7. There is an even chance. that she wins the first game. (a) Find the transition matrix M of the Markov process. - (b) Find the probability that she wins the second game. (c) Find the probability that she wins the third game. (d) Find out how often, in the long run, she wins.

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step-by-step explanation:

the correct answer is x/3+10≥32

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hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

i believe your answer is 99.7% of 7-year-old children are between 46.6 inches and 49.5 inches tall.