7. ) 1 According the University of California system , 37% of students entering UC Sunny dale required at least one developmental mathematics or

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7. )1 According the University of California system , 37% of students entering UCSunny dale required at least one developmental mathematics or english course . Assume that asimple random sample of 300 UC Sunnydale students is obtained .\a . Which best describes the shape of the distribution of p , the sample proportion ofstudents entering the UC Sunny dale that require developmental mathematics or*english ? Is it normal ?*b. Calculate the expected value of the sample proportion , E ( p ) , and the standarddeviation of the sample proportion , Op. Round the values to 4 decimal places .C . Find the probability that 40% or more of the sample of UC Sunnydale studentsrequire a developmental mathematics or english course .d . Find the probability that 120 or fewer of the UC Sunnydale students in the sample*require a developmental mathematics or english course .