Question

Time
A student practicing for the hurdle race puts 4 hurdles A,B,C and D at equal distance on
straight track as shown in the image,
2)
The student records the time at each hurdle,
10​

Answer 1

Explanation:

Solution :

Let p and q respectively be the probabilities that the player will clear and knock down the hurdle.

$∴p = \frac{5}{6} </p><p></p><p>$

$= > q = 1 - p$

$= > q = 1 - \frac{5}{6}$

$= > q = \frac{1}{6}$

Let X be the random variable that represents the number of times the player will knock down the hurdle.

Therefore,

by binomial distribution, we obtain

$p (x = x) = ^{n} cxp ^{n - x} {q}^{x}$

P (player knocking downless than 2 hurdles) = P (X < 2)

=> P (X= 0) + P (X = 1)

$= > (\frac{5}{6} ) ^{10} + 10. \frac{1}{6} . ({ \frac{5}{6} })^{9}$

$= > ({ \frac{5}{6} })^{9} ( \frac{5}{6} + \frac{10}{6} )$

$= > \frac{5}{2} ( \frac{5}{6} ) ^{9}$

$= > \frac{(5) ^{10} }{2 \times (6) ^{9} }$

Answer 2

Explanation:

Time

A student practicing for the hurdle race puts 4 hurdles A,B,C and D at equal distance on

straight track as shown in the image,

2)

The student records the time at each hurdle,

10