The PMF of the number of selecting basalt specimen is and the probability of selecting all specimen of one of two type of rocks is .
Further explanation:
Concept used:
The probability of an event can be calculated as follpws:
Here, is the number of favorable outcomes in an event and is the number of element in sample space .
The probability mass function of getting exactly success in independent trial in an experiment can be expresses as follows:
Here, is the success probability and is the failure probability of an event.
Calculation:
A geologist has collected specimens of ballistic rock and geologist collected specimens of granite.
The total number of specimens is .
The sample space is the collection of all possible outcomes in an experiment.
Therefore, the total possible outcomes are .
The probability of selecting ballistic rock can be calculated as follows:
The probability of selecting granite can be calculated as follows:
The PMF of selecting exactly basalt specimen for analysis can be calculated as follows:
Consider as an event that all rocks are selecting from one rock and as the number of favorable outcomes in an event .
The number of favorable outcomes in an event can be calculated as follows:
The total possible outcomes of selecting rocks in rocks can be calculated as follows:
The probability of selecting all specimen of one of two type of rocks can be calculated as follows:
Thus, the probability that all specimens of one of the two types of rock are selected for analysis is .
Learn more:
1. Learn more about functions brainly.com/question/2142762
2. Learn more about numbers brainly.com/question/1852063
Answer details:
Grade: College school
Subject: Mathematics
Chapter: Probability
Keywords: Basalt specimen, geologist, rock, granite, PMF, probability mass function, exactly, probability, possible outcomes, favorable, failure success, , event, experiment, trial, P=n(E)/n(S).