Dkhaurithompson
17.03.2020 •
Mathematics
The probability of a successful optical alignment in the assembly of an optical data storage product is p = 0.7. Assume the trials are independent. Round your answers to four decimal places (e.g. 98.7654). (a) What is the probability that the 1st successful alignment requires exactly 4 trials? (b) What is the probability that the 1st successful alignment requires at most 4 trials? (c) What is the probability that the 1st successful alignment requires at least 4 trials?
Solved
Show answers
More tips
- H Health and Medicine How to Cure Adenoids?...
- H Health and Medicine Why Wearing a Back Brace Can Be Beneficial During Back Strain?...
- S Sport When and Where Will the 2014 World Cup be Held?...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
- C Computers and Internet How to Learn to Type Fast?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
Answers on questions: Mathematics
- M Mathematics Question 4 Evelyn packed this box with 1-inch cubes. Which expression does NOT show how Evelyn can find the volume of the box? 6 x 6 2 + 3 + 6 height 6 + 6 + 6 + 6 + 6 + 6 2 X 3 X...
- M Mathematics 3: A group of 6 children and 6 adults are going to a movie After the Quarantine . Child tickets cost $5, and adult tickets cost $9. How much will the movie tickets cost in all?...
- M Mathematics Which value when placed in the box would result in a system of equations with infinity many solutions y=2x-5 2y-4x=...
- M Mathematics At Fun Spot, Juan wants to ride the Yellow Go Karts 4 times and the Rollercoaster 2 times. It costs 3 tickets to ride the Yellow Go Karts and 2 tickets to ride the Rollercoaster ....
- M Mathematics Considerándo las cifras 1 2 3 5 7 y 9 cuantos números diferentes de tres o cuatro cifra es distinta es posible formar...
- M Mathematics Triangle ABC has area 45cm. Find the length AB. 10cm 400...
- M Mathematics I am stuck on this and need the answer. Thank You!...
- M Mathematics Sebastian went to Best Buy and bought an Xbox One for $324 after a 40% discount and a sales tax of 8%. What was the original price of the Xbox One before the discount and tax?...
- M Mathematics Jessica is planning a trip to South Africa. The following table shows some of her planned expenses for this trip, and whether these expenses are in US dollars ($) or South African...
- M Mathematics What are the first 100 numbers in pie? No Explanation Necessary...
Ответ:
(a) P(X = 4) = 0.0189
(b) P(X 4) = 0.9919
(c) P(X 4) = 0.027
Step-by-step explanation:
We are given that the probability of a successful optical alignment in the assembly of an optical data storage product is p = 0.7 .
Since we have to find the probabilities for 1st successful alignments, so the probability distribution that we will use here is Geometric distribution.
Geometric distribution is used when we are interested in knowing the chances of our first success.
The probability distribution of geometric distribution is given by;
where, = number of trials
k = first success = 1
p = probability of getting success = 0.70
So, X ~ Geo(p = 0.7)
(a) Probability that the 1st successful alignment requires exactly 4 trials is given by = P(X = 4)
Here, = 4, p = 0.7 and k = 1
So, P(X = 4) = = = 0.0189
(b) Probability that the 1st successful alignment requires at most 4 trials is given = P(X 4)
P(X 4) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)
=
=
= 0.7 + 0.21 + 0.063 + 0.0189 = 0.9919
(c) Probability that the 1st successful alignment requires at least 4 trials is given by = P(X 4)
P(X 4) = 1 - P(X < 4) = 1 - P(X 3)
P(X 4) = 1 - P(X = 1) - P(X = 2) - P(X = 3)
=
=
= 1 - 0.7 - 0.21 - 0.063 = 0.027
Ответ:
thanks bro☺️☺️☺️☺️
I appreciate that