4. In a survey of 300 housewives, it was discovered that 150 had read magazine A, 200 had read magazine B and 156 had read magazine C. It was further discovered that 48 had read A and B, 60 had read B and C while 52 had read A and C. Find c. The number of housewives that had read all three magazines. d. The number of housewives that had read at least two magazines. e. The number of housewives that had read only one magazine.

We measured the flat area of 30 apartments and we have measured the following values in \( m^{2} \) : \( 82.6,57.3,70.4,65,48.4,103.8,73.6,43.5,66.1,93,52.6,70,84.2,55,81.3,61.5,75.1,34.8 \), \( 62.4,116,70.1,63.6,93,59.2,65.9,77.2,52.8,68.7,79.2,87.4 \). a) Create a table of grouped frequency distribution for the number of classes \( k=9 \). b) Construct a histogram of relative frequencies of the flat areas. c) From the specified values estimate the sample mean and the variance. d) From the middle values of the intervals and from their frequencies estimate the sample mean and the variance.

Question 9 A state representative wishes to estimate the mean number of women representatives per state legislature. A random sample of 17 was selected, and from the sample, the point estimate of the mean is 33.4, and the variance is 823.69, find the \( 90 \% \) confidence interval of the mean population. (write the lower limit for the confidence interval). Add your answer Integer, decimal, or E notation allowed

The mean of the data \( 4,10,5,9,12 \) is - \( \begin{array}{llll}\text { (A) } 8 & \text { (B) } 10 & \text { (C) } 9 & \text { (D) } 15 \\ 52 \text { ताश के पत्तों में से एक पत्ता निकाला जाता है, तो रानी आने की प्रायिकता है - } \\ \begin{array}{llll}\text { (अ) } \frac{1}{26} & \text { (ब) } \frac{1}{13} & \text { (स) } \frac{4}{53} & \text { (द) } \frac{4}{13}\end{array} \\ \text { A card is drawn from the set of } 52 \text { cards, then the probability of getting a queen is } \\ \begin{array}{llll}\text { (A) } \frac{1}{26} & \text { (B) } \frac{1}{13} & \text { (C) } \frac{4}{53} & \text { (D) } \frac{4}{13}\end{array} \\ \begin{array}{ll}\text { Page } 2 \text { of } 4 & \end{array}\end{array} \).

Question 5 The final exam scores in a statistics class are normally distributed with a mean of 63 and a standard deviation of 5. \( 30 \% \) of the students scored more than what value? Add your answer Integer, decimal, or E notation allowed

आकड़ों \( 4,10,5,9,12 \) का माध्य है - \( \begin{array}{lll}\text { (अ) } 8 & \text { (ब) } 10 & \text { (स) } 9\end{array} \) The mean of the data \( 4,10,5,9,12 \) is - \( \begin{array}{lll}\text { (A) } 8 & \text { (B) } 10 & \text { (C) } 9\end{array} \)