Five coins were simultaneously tossed 1000 times, and at each toss the number of heads was observed. The number of tosses during which 0, 1, 2, 3, 4 and 5 heads were obtained are shown in the table below: Find the mean number of heads per toss

No. of heads per toss (x): 0 1 2 3 4 5

No. of tosses (f): 38 144 342 287 164 25

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Solution

Let the assume mean be.

We know that mean

Now, we have

Putting the values above in formula, we have

Hence, the mean number of heads per toss is 2.47.

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Similar questions

Five coins were simultaneously tossed 1000 times, and at each toss the number of heads was observed. The number of tosses during which 0, 1, 1 3, 4 and 5 heads were obtained are shown in the table below. Find the mean number of heads per toss
No. of heads per toss (x) : 0 1 2 3 4 5
No. of tosses (f) : 38 144 342 287 164 25

Three similar coins were tossed simultaneously 500 times and the frequency distribution of heads obtained on each toss is as below.

$\begin{matrix} Number of heads & 0 & 1 & 2 & 3 Frequency & 60 & 175 & 200 & 65 \end{matrix}$

Find the probability of (i) getting all three heads;

(ii) getting an odd number of heads. [2 MARKS]

Find the probability distribution of

(i) number of heads in two tosses of a coin

(ii) number of tails in the simultaneous tosses of three coins

(iii) number of heads in four tosses of a coin

Three similar coins were tossed simultaneously 500 times and the frequency distribution of heads obtained on each toss is as below.

$\begin{matrix} N u m b e r o f h e a d s & 0 & 1 & 2 & 3 F r e q u e n c y & 60 & 175 & 200 & 65 \end{matrix}$

Find the probability of (i) getting all three heads;

(ii) getting an odd number of heads. [2 MARKS]

Three coins were tossed $30$ times simultaneously. Each time the number of heads occurring was noted down as follows:

$0122123130$

$1311220121$

$3001123220$

Prepare a frequency distribution table for the data given above.

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No. of heads per toss (x):	0	1	2	3	4	5
No. of tosses (f):	38	144	342	287	164	25

Let the assume mean be. We know that mean Now, we have Putting the values above in formula, we have Hence, the mean number of heads per toss is 2.47.

Let the assume mean be.

We know that mean

Now, we have

Putting the values above in formula, we have

Hence, the mean number of heads per toss is 2.47.