$\require{\cancel}$ $\require{\stix[upint]}$

### HENRYTAIGO

#### Cambridge International AS and A Level

 Name of student HENRYTAIGO Date Adm. number Year/grade HenryTaigo Stream HenryTaigo Subject Probability & Statistics 1 (S1) Variant(s) P61, P62, P63 Start time Duration Stop time

Qtn No. 1 2 3 Total
Marks 8 6 7 21
Score

Get Mathematics 9709 Topical Questions (2010-2021) for $14.5 per Subject. Attempt all the 3 questions Question 1 Code: 9709/61/M/J/18/4, Topic: The normal distribution$\text{(a)}$The distance that car tyres of a certain make can travel before they need to be replaced has a normal distribution. A survey of a large number of these tyres found that the probability of this distance being more than$36800 \mathrm{~km}$is$0.0082$and the probability of this distance being more than$31000 \mathrm{~km}$is$0.6915.$Find the mean and standard deviation of the distribution.$\text{(b)}$The random variable$X$has the distribution$\mathrm{N}\left(\mu, \sigma^{2}\right)$, where$3 \sigma=4 \mu$and$\mu \neq 0$. Find$\mathrm{P}(X<3 \mu)$.$$Question 2 Code: 9709/62/O/N/18/4, Topic: Permutations and combinations$\text{(i)}$Find the number of different ways that 5 boys and 6 girls can stand in a row if all the boys stand together and all the girls stand together.$\text{(ii)}$Find the number of different ways that 5 boys and 6 girls can stand in a row if no boy stands next to another boy.$$Question 3 Code: 9709/63/O/N/18/4, Topic: Permutations and combinations Out of a class of 8 boys and 4 girls, a group of 7 people is chosen at random.$\text{(i)}$Find the probability that the group of 7 includes one particular boy.$\text{(ii)}$Find the probability that the group of 7 includes at least 2 girls.$\$

Worked solutions: P1, P3 & P6 (S1)

If you need worked solutions for P1, P3 & P6 (S1), contact us @ [email protected] | +254 721 301 418.

1. Send us the link to these questions ( https://stemcie.com/view/117 ).
2. We will solve the questions and provide you with the step by step worked solutions.
3. We will then schedule a one to one online session to take you through the solutions (optional).