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

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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 1,700 intervals of 7.5 seconds each. The number of intervals that had 0 - 4 particles reaching the counter is given in the table below. 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 1,700 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.  a) Fill in the table below with the estimated probability distribution of x, and sketch a probability histogram for x.   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. Let the random variable x = number of particles counted in a 7.5 second time period.
a) Fill in the table below with the estimated probability distribution of x, and sketch a probability histogram for x.
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 1,700 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.  a) Fill in the table below with the estimated probability distribution of x, and sketch a probability histogram for x.   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. Probability histogram 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 1,700 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.  a) Fill in the table below with the estimated probability distribution of x, and sketch a probability histogram for x.   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.
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.


Definitions:

Perception

The process of organizing, identifying, and interpreting sensory information to represent and understand the environment around us.

Selection Factor

A source of bias that may occur in research findings when participants are allowed to choose for themselves a certain treatment in a scientific study.

Research Findings

The outcomes, results, or conclusions gathered from investigations and studies conducted on specific topics.

Gender Bias

A preference or prejudice toward one gender over the other, which can result in unfair treatment and inequality.

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