Suppose x has an exponential distribution with mean equal to 14. determine the following:
(a) upper p left-parenthesis x ⁢ greater-than 10 right-parenthesis (round your answer to 3 decimal places.)
(b) upper p left-parenthesis x ⁢ greater-than 20 right-parenthesis (round your answer to 3 decimal places.)
(c) upper p left-parenthesis x ⁢ less-than 30 right-parenthesis (round your answer to 3 decimal places.)
(d) find the value of x such that upper p left-parenthesis upper x ⁢ less-than x right-parenthesis equals 0.95. (round your answer to 2 decimal places.)

Agrasshopper weighs 0.89 grams. express the grasshopper’s weight in scientific notation.

Jared had 3/7 of the minutes on a family phone plan remaining for the month. the plan is shared by 2 people. if divided equally what portion of the minutes remaining on the phone plan would be avalible for each person

Aking and his army will attempt to capture a fortress. the left and right flanks break off from the main group to attack the west and east guard towers. suppose the left flank has a 60% chance of success and the right flank has a 75% chance of success, independently of one another. if both flanks capture their respective targets, then the king has a 98% chance of successfully taking the fort. if, however, only the left flank captures its tower, the king has an 80% chance of success; if only the right flank succeeds, the king has a 50% chance. if both flanks fail, then the king's chance of capturing the fort drops to 20%. it turns out the king captures the fort. what is the probability that one, and only one, flank was successful (either the left, or the right, but not both)? (round your answer to 3 decimal places)