Plot statistics for chen weibull

I want to draw three plots for this distribution any help please

 dist =ProbabilityDistribution[{"CDF",Divide[1 - Exp[λ (1 - Exp[(1 - Exp[-(x/

α)^γ])^β])],1 - Exp[λ - λ Exp[1]]]},{x, 0, ∞},Assumptions -> {λ > 0, β > 0, α > 0, γ > 0}
]

data = {70, 90, 96, 97, 99, 103, 104, 104, 105, 107, 108, 108, 108, 
109, 109, 112, 112, 113, 114, 114, 114, 116, 119, 120, 120, 120, 
121, 121, 123, 124, 124, 124, 124, 124, 128, 128, 129, 129, 130, 
130, 130, 131, 131, 131, 131, 131, 132, 132, 132, 133, 134, 134, 
134, 134, 136, 136, 137, 138, 138, 138, 139, 139, 141, 141, 142, 
142, 142, 142, 142, 142, 142, 142, 144, 144, 145, 146, 148, 148, 
149, 151, 151, 152, 155, 156, 155, 156, 157, 157, 157, 157, 158, 
159, 162, 163, 163, 164, 166, 166, 168, 170, 174, 201, 212};