Question

Fifty seeds were selected at random from each of 5 bags of seeds and were kept under standardised conditions favourable to germination. After 20 days, the number of seeds which have germinated in each collection were counted and recorded as follows :(Bag - Number of seeds germinated)
1 - 40
2 - 48
3 - 40
4 - 35
5 - 45What is the probability of germination of(i) more than 40 seeds in a bag ?(ii) 49 seeds in a bag ?(iii) more than 35 seeds in a bag ?

Answer 1

Answer:

1. 3/5

2. 0

3. 4/5

Step-by-step explanation:

1. Since 50 seeds were selected at random from each of 5 bags.

Since bag 1 contains 40 seeds , bag 2 contains 48 seeds , bag 5 contains 45 seeds .

So, there are total of 5 bags and from that there are 3 bags which contains more than 40 seeds.

So, the probability  will be 3/5.

2. There are no bags which contains 49 seeds in a bag

So, the probability of germination of 49 seeds in the bag will be 0.

3. We have to find the probability of more than 35 seeds in the bag

Since bag 1 contains 40 seeds , bag 2 contains 48 seeds , bag 3 contains 40 seeds , bag 5 contains 45 seeds.

Since, there are 4 bag which contains more than 35 seeds in a bag.

So, the probability will be = 4/5

Answer 2

Given that,

The number of seeds which have germinated in each collection were counted and recorded as follows ,

Bag = 1, 2, 3, 4, 5

Number of seeds germinated = 40. 48, 40, 35, 45

(I). We need to calculate the probability of germination of more than 40

Using formula of probability

$\text{Probability of more than 40 seeds in a bag}P(A)=\dfrac{\text{number of bags in which more than 40 seeds}}{\text{total number of bag}}$

Put the value into the formula

$P(A)=\dfrac{2}{5}$

$P(A)=0.4$

(II).  We need to calculate the probability of germination of 49 seeds in bag

Using formula of probability

$\text{Probability of 49 seeds in a bag}P(A)=\dfrac{\text{number of bags in which 49 seeds}}{\text{total number of bag}}$

Put the value into the formula

$P(A)=\dfrac{0}{5}$

$P(A)=0$

(III).  We need to calculate the probability of germination of more than 35 seeds in bag

Using formula of probability

$\text{Probability of more than 35 seeds in a bag}P(A)=\dfrac{\text{number of bags in which more than 39 seeds}}{\text{total number of bag}}$

Put the value into the formula

$P(A)=\dfrac{3}{5}$

$P(A)=0.6$

Hence, (I). The probability of germination of more than 40 seeds in a bag is 0.4.

(II). The probability of germination of 49 seeds in a bag is 0.

(I). The probability of germination of more than 35 seeds in a bag is 0.6.