If a random variable x is exponentially distributed with parameter λ=2, then p(x≥1) is equal to

a. 0.3935
b. 0.8647
c. 0.6065
d. 0.1353

if a random variable x is exponentially distributed with parameter λ=1.5, then p(2≤x≤4) is equal to

a. 0.9527
b. 0.0473
c. 0.6617
d. 0.3383

D. 0.1353

B. 0.0473

Step-by-step explanation:

For an exponentially distributed random variable, the cumulative distribution function is:

with parameter λ=2, then P(X≥1) is equal to:

D. 0.1353

with parameter λ=1.5, then P(2≤X≤4) is equal to

B. 0.0473

so, converting firstly the mixed fractions to improper fractions and then "adding".

answer. d.289 hope that