The marketing department observes that the likelihood of a consumer buying a product depends on the time spent on their

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The marketing department observes that the likelihood of a
consumer buying a product depends on the time spent on their
website. From the data, we deduce the distribution of time of use
of the site by consumers. We note X, the time spent in minutes (on
the site)

The Marketing Department Observes That The Likelihood Of A Consumer Buying A Product Depends On The Time Spent On Their 1 (300.5 KiB) Viewed 54 times

a)Calculate the value of the constant k.
b) Give the probability that a consumer spends 10 min ± 1 on the
site. Show on the density graph. Compare and comment
c) Give the cumulative density of X. What will be the maximum
time spent on the site for 75% of the times?
d) Plot G (x) and show (b) on the graph.
X g(x) = kx 0 < x < 10 0 10 < x < 20 20 < x < 30 ailleurs ol-