In: Statistics and Probability

Determine whether the distribution is a discrete probability distribution. If not, state why.

x |
P(x) |

0 |
0.1 |

1 |
0.5 |

2 |
0.05 |

3 |
0.25 |

4 |
0.1 |

Given distribution is in table form.

x |
0 | 1 | 2 | 3 | 4 |

P(x) |
0.1 | 0.5 | 0.05 | 0.25 | 0.1 |

Check whether the distribution is a discrete probability distribution.

To be a discrete probability distribution, we must have a numerical random variable \(x\) such that \(P(x)\) must satisfy the preceding three requirements.

**1. **The variable \(x\) is a discrete random variable and its values are associated with probabilities.

**2.** \(\sum P(x)=P(0)+P(1)+P(2)+P(3)+P(4)\)

\(=0.1+0.5+0.05+0.25+0.1\)

\(=1\)

**3. **Each value of \(P(x)\) is between 0 and 1 .

The given table is a discrete probability distribution because it satisfies the discrete probability distribution's three requirements.

A sampling distribution refers to the distribution of:
repeated populations
repeated samples
a sample statistic
a population parameter

For each region of the lac operon on the F' plasmid, I+ P+ Oc Z− Y+ , determine whether the region is wild type (that is, it produces a functional protein or it's a correct protein binding sequence) or whether the region is mutated. Select all that apply. Select all that apply. The promoter sequence is correct/functional. The repressor protein is produced. The operator sequence is correct/functional. Beta-galactosidase is produced from the lacZ gene. Permease is produced from the lacY...

Must be in paragrpah form, elaborate well and don't copy paste.

It's a marketing question that would help students gain answers

It's a marketing question that would help students gain answers

Suppose the stock price is $40 and the effective annual interest rate is 8%.
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(ii) 40-strike call with a premium of $6.22.
(iii) 45-strike call with a premium of $4.08.
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$$ f(x)=\frac{\alpha}{\beta^{\alpha}} x^{\alpha-1} e^{-\left(\frac{g}{3}\right)^{\alpha}} $$
for \(x>0\). The Weibull distribution is used to model lifetime of item subject to failure. If \(\alpha \in(0,1),\) it is used to model decreasing failure rate overtime, whereas if \(\alpha>1,\) one models increasing failure rate over time. It is easy to show that the c.d.f. of \(X\)...

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