Develop genetic methods for extending


A biomedical engineer is trying to develop genetic methods for extending the lifetimes of cells. In a control population of cells, he measures the following lifetimes.

Lifetime (hrs) Number of Cells

300-399 14

400-499 46

500-599 58

600-699 76

700-799 68

800-899 62

900-999 48

1000-1099 22

1100-1199 6

a) Plot a binned histogram for the data.

b) Plot a relative frequency distribution (also called the normalized histogram) and the cumulative distribution of relative frequency for the data.

c) Estimate the percentage of cells with lifetimes of

i) less than 600 hours

ii) 900 or more hours and

iii) at least 500 but less than 1000 hours

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