The Famous Physicist, Ernest Rutherford, Was a Pioneer in the Study

question 23

Essay

The famous physicist, Ernest Rutherford, was a pioneer in the study of radioactivity using electricity. In one experiment he observed the number of particles reaching a counter during time 1700 intervals of 7.5 seconds each. The number of intervals that had 0 - 4 particles reaching the counter is given in the table below. Let the random variable x = number of particles counted in a 7.5 second time period. ​
Probability histogram ​
b)Using the estimated probabilities in part (a), estimate the following:
i)P(x = 1), the probability that 1 particle was counted in 7.5 seconds.
ii)P(x < 3), the probability that fewer than 3 particles were counted.
iii)P(x ≥ 3), the probability that at least 3 particles were counted.

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