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. In a city, it is estimated that the maximum temperature in June is normally distributed with a mean of 28º and a standard deviation of 5.4°. Calculate the number of days in this month in which it is expected to reach a maximum of between 22° and 31°

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Answer:

Step-by-step explanation:

μ=28

σ=5.4

= P( 22 < X < 31 ) = P ( X < 31 ) − P ( X < 22 )

= P( Z <  31−28 / 5.4 )  − P ( Z <  22−28 / 5.4 )  

= P ( Z < 0.556 ) − P ( Z < − 1.111 )  

= 0.71074−0.13326

= 0.57748

= 0.5775

= 30 x 0.5775 ----- since there are 30 days in a month

= 17.325

ANSWER: 17 days

ps. sana nakatulong

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