Question Solved1 Answer A gaming developer company conducted a survey and found that families with teenagers spend, on average $238.92 in playing video games (including downloads, streaming, physical copies, and in-game purchases) a year. Assume the standard deviation is $31.38. Assume the variable is normally distributed. (a) Find the probability that a family spends over $290 in playing video games every year. (b) Find the probability that a family spends less than $150 in playing video games every year. (c) Find the probability that a family spends between $175 and $255 in playing video games every year. (a) The probability that a family spends over $290 in playing video games every year is A (b) The probability that a family spends less than $150 in playing video games every year is (c) The probability that a family spends between $175 and $255 in playing video games every year is С

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Transcribed Image Text: A gaming developer company conducted a survey and found that families with teenagers spend, on average $238.92 in playing video games (including downloads, streaming, physical copies, and in-game purchases) a year. Assume the standard deviation is $31.38. Assume the variable is normally distributed. (a) Find the probability that a family spends over $290 in playing video games every year. (b) Find the probability that a family spends less than $150 in playing video games every year. (c) Find the probability that a family spends between $175 and $255 in playing video games every year. (a) The probability that a family spends over $290 in playing video games every year is A (b) The probability that a family spends less than $150 in playing video games every year is (c) The probability that a family spends between $175 and $255 in playing video games every year is С
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Transcribed Image Text: A gaming developer company conducted a survey and found that families with teenagers spend, on average $238.92 in playing video games (including downloads, streaming, physical copies, and in-game purchases) a year. Assume the standard deviation is $31.38. Assume the variable is normally distributed. (a) Find the probability that a family spends over $290 in playing video games every year. (b) Find the probability that a family spends less than $150 in playing video games every year. (c) Find the probability that a family spends between $175 and $255 in playing video games every year. (a) The probability that a family spends over $290 in playing video games every year is A (b) The probability that a family spends less than $150 in playing video games every year is (c) The probability that a family spends between $175 and $255 in playing video games every year is С
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Solution-:We have been given" population average "(mu)=$238.92population standard devicition (sigma)=$31.38let x= spending in playing video games every year forthen{:[x∼Normal(mu","sigma)],[=>quad∼Normal(238.92","31.38)]:}[a] The probability that a family spends over $290 in playing video games every year.{:[p(x > 290)=1-p(x <= 290)],[=1-p(z <= (290-238.92)/(31.38))quad{[" Because "],[x∼N(238.92","3138)]}],[=1-P(z <= 1.627788)],[=1-phi(1.63)=1-0.9484quad{[" From "],[z"-fable "]}]:}[b] The probabilit ... See the full answer