8767: Q60

[YKM]

Q60:

A fair die is tossed 360 times. The probability that a six comes up on 70 or more of the tosses is?

Answer C: between 0.02 and 0.16.


Anyone knows the trick here without using calculator?

Thanks

[hadimotamedi]

The involved distribution is the Bernoulli trial, with the following data :
n=360
k=1/6
For large n, use normal distribution to estimate it with :
µ = np
σ^2 = npq
Then use Chebyshev inequality for find an estimate of the engaged probability.

[YKM]

Thanks