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3:28 AA elearning.sharjah.ac.ae c المساقات Courses Take Test: MidtermExam-Assignment 6 points Save Answer The daily temperatures in Sharjah during summer follows a normal distribution with a mean of 38 degrees Celsius and a standard deviation 5 degrees Celsius. a) Find smallest temperature for the hottest 5% of the temperatures b) If a day is taken at random, what is the probability that its temperature exceeds 41 degrees? c) If a week in summer is taken at random, what is the probability that temperature average in this week is at least 40 degrees? < < Question 6 of 7 > >> Moving to another question will save this response.

Answer 1

Solution : - Griven The daily temperatures in Sharjah set during summer follows a Normal distribution with a a mean of 38 degree celsius and a standard deviation 5 degree celasius. Let & be a random variable of daily temp- Then : . Normal (38,5). hottest 5% of Find smallest temp. for the the temp. 1 Let x be that temp. . . Then. P(xsx) =0.05 Plzs X-38) =00105 X-38 = -164 36-38 = -8.20 x= 38-8.20 2= 29,80 Hence smallest temp. for the hottest 5% = 29.80 celsius that the temp. @ what is the probability exceeds 41 degrees ? P:( X741) 5) Plz > 41538) |- P(Z506) =1-0.7258 = 0.2742 Ang

O of a week in summer is taken at random what is the probability that temp. average in this week is atleast 40 degrees ? .. ..The no of days in a week =.7 . Find P(x >40) a pl X-u . 4o-38) SIA) 3 P127 789) + P(Z >1.06) . l-plza 1.06) * 1-0.8554 = 0.1446 Ang