The creator of morse code claimed that 12% of all letters used in the english language were e’s suppose random samples of 196 letters are selected from a book.1) what is the mean mu subscript p with hat on top end subscript of the sampling distribution for the proportion of "e"s contained in the random samples of 196 letters. the answer should be expressed as a decimal and not as a percent. ) what is the standard deviation sigma subscript p with hat on top end subscript of the sampling distribution for the proportion of "e"s contained in the random samples of 196 letters. the answer should be expressed as a decimal and not as a percent. round its value to the nearest thousandth (three decimal places). ) what is the probability that a random sample of 196 letters will contain less than 15% "e"s? type your calculated z-score here. express its value to the nearest hundredth (two decimal places). your probability here. express its value to four decimal places. do not round. ) what is the probability that a random sample of 196 letters will contain at least 10% "e"s? type your calculated z-score here. express its value to the nearest hundredth (two decimal places). your probability here. express its value to four decimal places. do not round.