•Suppose xau (-54,60) and F(t) is theCumulative distribution function.which is the probability that x isin the interval E-51.-21] and in theinterval [36,57]A. F(57)-F(51)B.(F(-21)- F($1))+(F(57)-F(-36))C. (F (-21)-F(-51) × (F(57)-F(-36))D. F(-21) - F(-36)(6)

Given: Here is the given, X~U-54,60 and the interval -51,-21 and -36,57. To find: The probability…

Answered: •Suppose xau (-54,60) and F(t) is the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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you should calculate the required probabilities using tables A model for normal human body temperature, X, when measured orally in F, is that it is normally distributed, X N(98.2, 0.5184). According to the model, what proportion of people have a normal body temperature of 99 F or more? (0) (i) Find the normal body temperature such that, according to the model, only 10% of people have a lower normal body temperature. (ii) Let W denote normal human body temperature, when measured orally in C. Given that W =59 (X-32) and X N(98.2, 0.5184), what is the distribution of W?
The probability function of the amount of soft drink in a can is f(x)=4cx for11.5 <X< 12.5 oz. Determine the value of c such that f(x) represents a p.d.f..Then, find the following probabilities:(a) P(X > 11.5), (b) P(X < 12.25), and (c) P(11.75 <X< 12.25).
9(D)
Suppose X-U (-54, 60) and F(t) is the cumulative distribution function. What is the probability that X is in the interval [-51, -21] or in the interval [-36, 57]? O (F(-21)-F(-51))+ (F(57) - F(-36)) O (F(-21)-F(-51)) x (F(57) - F(-36)) O F(-21)-F(-36) O F(57) - F(-51)
Let X have a uniform distribution on the interval (2, 9). Find the probability that the sum of 2 independent observations of X is greater than 16.
Suppose Xt denotes the unknown whose value is the success count for ?ttrials of a Bernoulli Process with success rate p and Wn the unknown whose value is the number of trials to have the nth success. Then, the probability that the number of trials to get the 7th success is at most 10 is which of the following? (A) P(X10≥7)P(X10≥7) (B) P(X7<10)P(X7<10) (C) P(X10<7)P(X10<7) (D) P(W7≥10)
The graph of the discrete probability to the right represents the number of live births by a mother 42 to 46 years old who had a live birth in 2015. Complete parts (a) through (d) below. 0.30 0-279 0.25 0.238 0,20- U.168 0.15 15 0.097 0.10 0.05 004 0036 0.043 0.00- 1 2 3 8 Number of Liive Births (a) What is the probability that a randomly selected 42- to 46-year-old mother who had a live birth in 2015 has had her fourth live birth in that year? 0.112 (Type an integer or a decimal.) (b) What is the probability that a randomly selected 42- to 46-year-old mother who had a live birth in 2015 has had her fourth or fifth live birth in that year? 0.206 (Type an integer or a decimal.) (c) What is the probability that a randomly selected 42- to 46-year-old mother who had a live birth in 2015 has had her sixth or more live birth in that year? 0.101 (Type an integer or a decimal.) hp esc & 8

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•Suppose xau (-54,60) and F(t) is the Cumulative distribution function. which is the probability that x is in the interval E-51.-21] and in the interval [36,57] A. F(57)-F(51) B.(F(-21)- F($1)) +(F(57)-F(-36)) C. (F (-21)-F(-51) × (F(57)-F(-36)) D. F(-21) - F(-36) (6)