For a second photograph,the members stand in two rows,with 6 on the back row and 4 on the front row.Olly and his sister Petra are two of the members of the club. 在第二张照片中,成员们站成两排,后排 6 人,前排 4 人。
(c)How many different arrangements are there of the 10 members in which Olly and Petra stand next to each other on the front row? (c)Olly 和 Petra 并排站在前排的 10 名成员中,有多少种不同的安排? qquad\qquad
(a)The lengths,in centimetres,of middle fingers of women in Raneland have a normal distribution with mean mu\mu and standard deviation sigma\sigma .It is found that 25%25 \% of these women have fingers longer than 8.8 cm and 17.5%17.5 \% have fingers shorter than 7.7 cm . (a)Raneland 妇女的中指长度(以厘米为单位)呈均值 mu\mu 和标准差的正态分布 sigma\sigma , 25%25 \% 发现这些妇女的手指长度超过 8.8 厘米, 17.5%17.5 \% 手指短于 7.7 厘米。
(i)Find the values of mu\mu and sigma\sigma . (i) 求 mu\mu 和 sigma\sigma 的值。 qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad
The lengths,in centimetres,of middle fingers of women in Snoland have a normal distribution with mean 7.9 and standard deviation 0.44 .A random sample of 5 women from Snoland is chosen. Snoland 女性的中指长度(以厘米为单位)呈正态分布,平均值为 7.9,标准差为 0.44 .从 Snoland 随机选择 5 名女性样本。
(ii)Find the probability that exactly 3 of these women have middle fingers shorter than 8.2 cm . (ii) 找出这些女性中正好有 3 个中指短于 8.2 厘米的概率。 qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad qquad\qquad